Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
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Chapter 6.2, Problem 132AYU

a.

To determine

Value of the six trigonometric function at t to the nearest tenth.

a.

Expert Solution
Check Mark

Answer to Problem 132AYU

  sin20.9cos20.4csc21.1sec22.4tan22.3cot20.5

Explanation of Solution

Given information:

Use the figure to approximate the value of the six trigonometric function at t to the nearest tenth. Then use a calculator to approximate each of the six trigonometric function at t=2 .

  Precalculus Enhanced with Graphing Utilities, Chapter 6.2, Problem 132AYU , additional homework tip  1

Calculation:

The given diagram is a unit circle. We will define trigonometric function with reference at a point P(u,v) on a unit circle. Locate P using a real number x as follows,

  Precalculus Enhanced with Graphing Utilities, Chapter 6.2, Problem 132AYU , additional homework tip  2

If x0 travel along the circle in anticlockwise direction a distance x units to arrive at P(x) and if x<0 travel along the clockwise direction of distance |x| units.

The value of x indicates the directed arc length from (1,0) . As x varies the point P moves around the unit circle.

  sinx=v,cosx=u Coordinate of P(x)

To find sin2andcos2 locate P(2) by moving along the unit circle a distance 2 unit anticlockwise from the point (1,0)

Approximate the coordinate of P(2)(0.4,0.9) .

Since the v -coordinate represents the value of sinx , we have

  sin2=0.9

Since the u, -coordinate represents the value of cosx , we have

  cos2=0.4

Applying,

  tanx=sinxcosx,cotx=cosxsinxtan2=sin2cos2,cot2=cos2sin2=2.3,=0.4

And

  cscx=1sinx,secx=1cosxcsc2=1sin2,sec2=1cos2=1.1,=2.5

Hence, all trigonometric functions are tabulated as.

  sin20.9cos20.4csc21.1sec22.4tan22.3cot20.5

b.

To determine

Value of the six trigonometric function at t to the nearest tenth.

b.

Expert Solution
Check Mark

Answer to Problem 132AYU

  sin40.75cos40.6csc41.33sec41.67tan41.1cot40.85

Explanation of Solution

Given information:

Use the figure to approximate the value of the six trigonometric function at t to the nearest tenth. Then use a calculator to approximate each of the six trigonometric function at t=4 .

  Precalculus Enhanced with Graphing Utilities, Chapter 6.2, Problem 132AYU , additional homework tip  3

Calculation:

The given diagram is a unit circle. We will define trigonometric function with reference at a point P(u,v) on a unit circle. Locate P using a real number x as follows,

  Precalculus Enhanced with Graphing Utilities, Chapter 6.2, Problem 132AYU , additional homework tip  4

If x0 travel along the circle in anticlockwise direction a distance x units to arrive at P(x) and if x<0 travel along the clockwise direction of distance |x| units.

The value of x indicates the directed arc length from (1,0) . As x varies the point P moves around the unit circle.

  sinx=v,cosx=u Coordinate of P(x)

To find sin4andcos4 locate P(4) by moving along the unit circle a distance 4 unit anticlockwise from the point (1,0)

Approximate the coordinate of P(4)(0.6,0.7) .

Since the v -coordinate represents the value of sinx , we have

  sin4=0.75

Since the u, -coordinate represents the value of cosx , we have

  cos4=0.6

Applying,

  tanx=sinxcosx,cotx=cosxsinxtan4=sin2cos2,cot4=cos2sin2=1.1,=0.85

And

  cscx=1sinx,secx=1cosxcsc4=1sin2,sec4=1cos2=1.33,=1.67

Hence, all trigonometric functions are tabulated as.

  sin40.75cos40.6csc41.33sec41.67tan41.1cot40.85

Chapter 6 Solutions

Precalculus Enhanced with Graphing Utilities

Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 59-64, convert each angle to a decimal...Ch. 6.1 - In Problems 59-64, convert each angle to a decimal...Ch. 6.1 - Prob. 25AYUCh. 6.1 - Prob. 26AYUCh. 6.1 - In Problems 59-64, convert each angle to a decimal...Ch. 6.1 - Prob. 28AYUCh. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - Prob. 87AYUCh. 6.1 - Prob. 88AYUCh. 6.1 - Prob. 89AYUCh. 6.1 - Prob. 90AYUCh. 6.1 - Prob. 91AYUCh. 6.1 - Prob. 92AYUCh. 6.1 - Prob. 93AYUCh. 6.1 - Prob. 94AYUCh. 6.1 - Prob. 95AYUCh. 6.1 - Prob. 96AYUCh. 6.1 - Prob. 97AYUCh. 6.1 - Prob. 98AYUCh. 6.1 - Prob. 99AYUCh. 6.1 - Prob. 100AYUCh. 6.1 - Prob. 101AYUCh. 6.1 - Prob. 102AYUCh. 6.1 - Prob. 103AYUCh. 6.1 - Prob. 104AYUCh. 6.1 - Prob. 105AYUCh. 6.1 - Prob. 106AYUCh. 6.1 - Prob. 107AYUCh. 6.1 - Prob. 108AYUCh. 6.1 - Prob. 109AYUCh. 6.1 - Prob. 110AYUCh. 6.1 - Prob. 111AYUCh. 6.1 - Prob. 112AYUCh. 6.1 - Prob. 113AYUCh. 6.1 - Prob. 114AYUCh. 6.1 - Prob. 115AYUCh. 6.1 - Prob. 116AYUCh. 6.1 - Prob. 117AYUCh. 6.1 - Prob. 118AYUCh. 6.1 - Prob. 119AYUCh. 6.1 - Prob. 120AYUCh. 6.1 - Prob. 121AYUCh. 6.1 - Prob. 122AYUCh. 6.1 - Prob. 123AYUCh. 6.1 - Prob. 124AYUCh. 6.1 - Prob. 125AYUCh. 6.2 - Prob. 1AYUCh. 6.2 - Prob. 2AYUCh. 6.2 - Prob. 3AYUCh. 6.2 - Prob. 4AYUCh. 6.2 - Prob. 5AYUCh. 6.2 - Prob. 6AYUCh. 6.2 - Prob. 7AYUCh. 6.2 - Prob. 8AYUCh. 6.2 - Prob. 9AYUCh. 6.2 - Prob. 10AYUCh. 6.2 - Prob. 11AYUCh. 6.2 - Prob. 12AYUCh. 6.2 - Prob. 13AYUCh. 6.2 - Prob. 14AYUCh. 6.2 - Prob. 15AYUCh. 6.2 - Prob. 16AYUCh. 6.2 - Prob. 17AYUCh. 6.2 - Prob. 18AYUCh. 6.2 - Prob. 19AYUCh. 6.2 - Prob. 20AYUCh. 6.2 - Prob. 21AYUCh. 6.2 - Prob. 22AYUCh. 6.2 - Prob. 23AYUCh. 6.2 - Prob. 24AYUCh. 6.2 - Prob. 25AYUCh. 6.2 - Prob. 26AYUCh. 6.2 - Prob. 27AYUCh. 6.2 - Prob. 28AYUCh. 6.2 - Prob. 29AYUCh. 6.2 - Prob. 30AYUCh. 6.2 - Prob. 31AYUCh. 6.2 - Prob. 32AYUCh. 6.2 - Prob. 33AYUCh. 6.2 - Prob. 34AYUCh. 6.2 - Prob. 35AYUCh. 6.2 - Prob. 36AYUCh. 6.2 - Prob. 37AYUCh. 6.2 - Prob. 38AYUCh. 6.2 - Prob. 39AYUCh. 6.2 - Prob. 40AYUCh. 6.2 - Prob. 41AYUCh. 6.2 - Prob. 42AYUCh. 6.2 - Prob. 43AYUCh. 6.2 - Prob. 44AYUCh. 6.2 - Prob. 45AYUCh. 6.2 - Prob. 46AYUCh. 6.2 - Prob. 47AYUCh. 6.2 - Prob. 48AYUCh. 6.2 - Prob. 49AYUCh. 6.2 - Prob. 50AYUCh. 6.2 - Prob. 51AYUCh. 6.2 - Prob. 52AYUCh. 6.2 - Prob. 53AYUCh. 6.2 - Prob. 54AYUCh. 6.2 - Prob. 55AYUCh. 6.2 - Prob. 56AYUCh. 6.2 - Prob. 57AYUCh. 6.2 - Prob. 58AYUCh. 6.2 - Prob. 59AYUCh. 6.2 - Prob. 60AYUCh. 6.2 - Prob. 61AYUCh. 6.2 - Prob. 62AYUCh. 6.2 - Prob. 63AYUCh. 6.2 - Prob. 64AYUCh. 6.2 - Prob. 65AYUCh. 6.2 - Prob. 66AYUCh. 6.2 - Prob. 67AYUCh. 6.2 - Prob. 68AYUCh. 6.2 - Prob. 69AYUCh. 6.2 - Prob. 70AYUCh. 6.2 - Prob. 71AYUCh. 6.2 - Prob. 72AYUCh. 6.2 - Prob. 73AYUCh. 6.2 - Prob. 74AYUCh. 6.2 - Prob. 75AYUCh. 6.2 - Prob. 76AYUCh. 6.2 - Prob. 77AYUCh. 6.2 - Prob. 78AYUCh. 6.2 - Prob. 79AYUCh. 6.2 - Prob. 80AYUCh. 6.2 - Prob. 81AYUCh. 6.2 - Prob. 82AYUCh. 6.2 - Prob. 83AYUCh. 6.2 - Prob. 84AYUCh. 6.2 - Prob. 85AYUCh. 6.2 - Prob. 86AYUCh. 6.2 - Prob. 87AYUCh. 6.2 - Prob. 88AYUCh. 6.2 - Prob. 89AYUCh. 6.2 - Prob. 90AYUCh. 6.2 - Prob. 91AYUCh. 6.2 - Prob. 92AYUCh. 6.2 - Prob. 93AYUCh. 6.2 - Prob. 94AYUCh. 6.2 - Prob. 95AYUCh. 6.2 - Prob. 96AYUCh. 6.2 - Prob. 97AYUCh. 6.2 - Prob. 98AYUCh. 6.2 - Prob. 99AYUCh. 6.2 - Prob. 100AYUCh. 6.2 - Prob. 101AYUCh. 6.2 - Prob. 102AYUCh. 6.2 - Prob. 103AYUCh. 6.2 - Prob. 104AYUCh. 6.2 - Prob. 105AYUCh. 6.2 - Prob. 106AYUCh. 6.2 - Prob. 107AYUCh. 6.2 - Prob. 108AYUCh. 6.2 - Prob. 109AYUCh. 6.2 - Prob. 110AYUCh. 6.2 - Prob. 111AYUCh. 6.2 - Prob. 112AYUCh. 6.2 - Prob. 113AYUCh. 6.2 - Prob. 114AYUCh. 6.2 - Prob. 115AYUCh. 6.2 - Prob. 116AYUCh. 6.2 - Prob. 117AYUCh. 6.2 - Prob. 118AYUCh. 6.2 - Prob. 119AYUCh. 6.2 - Prob. 120AYUCh. 6.2 - Prob. 121AYUCh. 6.2 - Prob. 122AYUCh. 6.2 - Prob. 123AYUCh. 6.2 - Prob. 124AYUCh. 6.2 - Prob. 125AYUCh. 6.2 - Prob. 126AYUCh. 6.2 - Prob. 127AYUCh. 6.2 - Prob. 128AYUCh. 6.2 - Prob. 129AYUCh. 6.2 - Prob. 130AYUCh. 6.2 - Prob. 131AYUCh. 6.2 - Prob. 132AYUCh. 6.2 - Prob. 133AYUCh. 6.2 - Prob. 134AYUCh. 6.2 - Prob. 135AYUCh. 6.3 - The domain of the function f(x)= x+1 2x+1 is _____...Ch. 6.3 - A function for which f(x)=f(x) for all x in the...Ch. 6.3 - True or False The function f(x)= x is even....Ch. 6.3 - True or False The equation x 2 +2x= (x+1) 2 1 is...Ch. 6.3 - The sine, cosine, cosecant, and secant functions...Ch. 6.3 - The domain of the tangent function is _____ .Ch. 6.3 - Which of the following is not in the range of the...Ch. 6.3 - Which of the following functions is even? a....Ch. 6.3 - sin 2 + cos 2 = _____ .Ch. 6.3 - True or False sec= 1 sinCh. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - Prob. 34AYUCh. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - If sin=0.3 , find the value of: sin+sin( +2 )+sin(...Ch. 6.3 - If cos=0.2 , find the value of: cos+cos( +2 )+cos(...Ch. 6.3 - If tan=3 , find the value of: tan+tan( + )+tan( +2...Ch. 6.3 - If cot=2 , find the value of: cot+cot( - )+cot( -2...Ch. 6.3 - Find the exact value of: sin 1 + sin2 + sin3 ++...Ch. 6.3 - Find the exact value of: cos 1 + cos2 + cos3 ++...Ch. 6.3 - What is the domain of the sine function?Ch. 6.3 - What is the domain of the cosine function?Ch. 6.3 - For what numbers is f( )=tan not defined?Ch. 6.3 - For what numbers is f( )=cot not defined?Ch. 6.3 - For what numbers is f( )=sec not defined?Ch. 6.3 - For what numbers is f( )=csc not defined?Ch. 6.3 - What is the range of the sine function?Ch. 6.3 - What is the range of the cosine function?Ch. 6.3 - What is the range of the tangent function?Ch. 6.3 - What is the range of the cotangent function?Ch. 6.3 - What is the range of the secant function?Ch. 6.3 - What is the range of the cosecant function?Ch. 6.3 - Is the sine function even, odd, or neither? Is its...Ch. 6.3 - Is the cosine function even, odd, or neither? Is...Ch. 6.3 - Is the tangent function even, odd, or neither? Is...Ch. 6.3 - Is the cotangent function even, odd, or neither?...Ch. 6.3 - Is the cotangent function even, odd, or neither?...Ch. 6.3 - Is the cotangent function even, odd, or neither?...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - Calculating the Time of a Trip From a parking lot,...Ch. 6.3 - Calculating the Time of a Trip Two oceanfront...Ch. 6.3 - Show that the range of the tangent function is the...Ch. 6.3 - Show that the range of the cotangent function is...Ch. 6.3 - Show that the period of f( )=sin is 2 . [Hint:...Ch. 6.3 - show that the period of f( )=cos is 2 .Ch. 6.3 - show that the period of f( )=sec is 2 .Ch. 6.3 - show that the period of f( )=csc is 2 .Ch. 6.3 - show that the period of f( )=tan is .Ch. 6.3 - show that the period of f( )=cot is .Ch. 6.3 - Prove the reciprocal identities given in formula...Ch. 6.3 - Prove the quotient identities given in formula...Ch. 6.3 - Establish the identity: (sincos) 2 + (sinsin) 2 +...Ch. 6.3 - Write down five properties of the tangent...Ch. 6.3 - Describe your understanding of the meaning of a...Ch. 6.3 - Explain how to find the value of sin 390 using...Ch. 6.3 - Explain how to find the value of cos( 45 ) using...Ch. 6.3 - Explain how to find the value of sin 390 and cos(...Ch. 6.4 - Prob. 1AYUCh. 6.4 - Prob. 2AYUCh. 6.4 - Prob. 3AYUCh. 6.4 - Prob. 4AYUCh. 6.4 - Prob. 5AYUCh. 6.4 - Prob. 6AYUCh. 6.4 - Prob. 7AYUCh. 6.4 - Prob. 8AYUCh. 6.4 - Prob. 9AYUCh. 6.4 - Prob. 10AYUCh. 6.4 - Prob. 11AYUCh. 6.4 - Prob. 12AYUCh. 6.4 - Prob. 13AYUCh. 6.4 - Prob. 14AYUCh. 6.4 - Prob. 15AYUCh. 6.4 - Prob. 16AYUCh. 6.4 - Prob. 17AYUCh. 6.4 - Prob. 18AYUCh. 6.4 - Prob. 19AYUCh. 6.4 - Prob. 20AYUCh. 6.4 - Prob. 21AYUCh. 6.4 - Prob. 22AYUCh. 6.4 - Prob. 23AYUCh. 6.4 - Prob. 24AYUCh. 6.4 - Prob. 25AYUCh. 6.4 - Prob. 26AYUCh. 6.4 - Prob. 27AYUCh. 6.4 - Prob. 28AYUCh. 6.4 - Prob. 29AYUCh. 6.4 - Prob. 30AYUCh. 6.4 - Prob. 31AYUCh. 6.4 - Prob. 32AYUCh. 6.4 - Prob. 33AYUCh. 6.4 - Prob. 34AYUCh. 6.4 - Prob. 35AYUCh. 6.4 - Prob. 36AYUCh. 6.4 - Prob. 37AYUCh. 6.4 - Prob. 38AYUCh. 6.4 - Prob. 39AYUCh. 6.4 - Prob. 40AYUCh. 6.4 - Prob. 41AYUCh. 6.4 - Prob. 42AYUCh. 6.4 - Prob. 43AYUCh. 6.4 - Prob. 44AYUCh. 6.4 - Prob. 45AYUCh. 6.4 - Prob. 46AYUCh. 6.4 - Prob. 47AYUCh. 6.4 - Prob. 48AYUCh. 6.4 - Prob. 49AYUCh. 6.4 - Prob. 50AYUCh. 6.4 - Prob. 51AYUCh. 6.4 - Prob. 52AYUCh. 6.4 - Prob. 53AYUCh. 6.4 - Prob. 54AYUCh. 6.4 - Prob. 55AYUCh. 6.4 - Prob. 56AYUCh. 6.4 - Prob. 57AYUCh. 6.4 - Prob. 58AYUCh. 6.4 - Prob. 59AYUCh. 6.4 - Prob. 60AYUCh. 6.4 - Prob. 61AYUCh. 6.4 - Prob. 62AYUCh. 6.4 - Prob. 63AYUCh. 6.4 - Prob. 64AYUCh. 6.4 - Prob. 65AYUCh. 6.4 - Prob. 66AYUCh. 6.4 - Prob. 67AYUCh. 6.4 - Prob. 68AYUCh. 6.4 - Prob. 69AYUCh. 6.4 - Prob. 70AYUCh. 6.4 - Prob. 71AYUCh. 6.4 - Prob. 72AYUCh. 6.4 - Prob. 73AYUCh. 6.4 - Prob. 74AYUCh. 6.4 - Prob. 75AYUCh. 6.4 - Prob. 76AYUCh. 6.4 - Prob. 77AYUCh. 6.4 - Prob. 78AYUCh. 6.4 - Prob. 79AYUCh. 6.4 - Prob. 80AYUCh. 6.4 - Prob. 81AYUCh. 6.4 - Prob. 82AYUCh. 6.4 - Prob. 83AYUCh. 6.4 - Prob. 84AYUCh. 6.4 - Prob. 85AYUCh. 6.4 - Prob. 86AYUCh. 6.4 - Prob. 87AYUCh. 6.4 - Prob. 88AYUCh. 6.4 - Prob. 89AYUCh. 6.4 - Prob. 90AYUCh. 6.4 - Prob. 91AYUCh. 6.4 - Prob. 92AYUCh. 6.4 - Prob. 93AYUCh. 6.4 - Prob. 94AYUCh. 6.4 - Prob. 95AYUCh. 6.4 - Prob. 96AYUCh. 6.4 - Prob. 97AYUCh. 6.4 - Prob. 98AYUCh. 6.4 - Prob. 99AYUCh. 6.4 - Prob. 100AYUCh. 6.4 - Prob. 101AYUCh. 6.4 - Prob. 102AYUCh. 6.4 - Prob. 103AYUCh. 6.4 - Prob. 104AYUCh. 6.4 - Prob. 105AYUCh. 6.4 - Prob. 106AYUCh. 6.4 - Prob. 107AYUCh. 6.4 - Prob. 108AYUCh. 6.5 - The graph of y= 3x6 x4 has a vertical asymptote....Ch. 6.5 - True or False If x=3 is a vertical asymptote of a...Ch. 6.5 - The graph of y=tanx is symmetric with respect to...Ch. 6.5 - The graph of y=secx is symmetric with respect to...Ch. 6.5 - It is easiest to graph y=secx by first sketching...Ch. 6.5 - True or False The graphs of...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 49 and 50, graph each function. f( x...Ch. 6.5 - In Problems 49 and 50, graph each function. g( x...Ch. 6.5 - Carrying a Ladder around a Corner Two hallways,...Ch. 6.5 - A Rotating Beacon Suppose that a fire truck is...Ch. 6.5 - Exploration Graph y=tanxandy=cot( x+ 2 ) Do you...Ch. 6.6 - For the graph of y=Asin( x ) , the number is...Ch. 6.6 - True or False A graphing utility requires only two...Ch. 6.6 - Prob. 3AYUCh. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - Prob. 8AYUCh. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - In Problems 19-26, apply the methods of this and...Ch. 6.6 - Alternating Current (ac) Circuits The current I ,...Ch. 6.6 - Alternating Current (ac) Circuits The current I ,...Ch. 6.6 - Hurricanes Hurricanes are categorized using the...Ch. 6.6 - Monthly Temperature The data below represent the...Ch. 6.6 - Monthly Temperature The given data represent the...Ch. 6.6 - Monthly Temperature The following data represent...Ch. 6.6 - Tides The length of time between consecutive high...Ch. 6.6 - Tides The length of time between consecutive high...Ch. 6.6 - Hours of Daylight According to the Old Farmer’s...Ch. 6.6 - Hours of Daylight According to the Old Farmer's...Ch. 6.6 - Hours of Daylight According to the Old Farmer's...Ch. 6.6 - Hours of Daylight According to the Old Fanner's...Ch. 6.6 - Prob. 39AYUCh. 6.6 - Find an application in your major field that leads...Ch. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 11CTCh. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - Prob. 17CTCh. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Prob. 20CTCh. 6 - Prob. 21CTCh. 6 - Prob. 22CTCh. 6 - Prob. 23CTCh. 6 - Prob. 24CTCh. 6 - Prob. 25CTCh. 6 - Prob. 26CTCh. 6 - Prob. 27CTCh. 6 - Prob. 28CTCh. 6 - Prob. 29CTCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CR
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Sine, Cosine and Tangent graphs explained + how to sketch | Math Hacks; Author: Math Hacks;https://www.youtube.com/watch?v=z9mqGopdUQk;License: Standard YouTube License, CC-BY