If the angle & (measured in radians) is such that 21 << ST 2 a) cos x < -√2 < sin x 2 b) √2 < cos

Q: Use the half-angle formula for cosine to compute cos() given cos(0) = 47 50 (Leave your answer in…

A: We can find the answer as below.

Q: Suppose that sina = √ and 5 2 <a < π a Find the exact values of sin and tan 2 गंत

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Q: Match the trigonometric expression with its simplified form. cot(x) sec(x) O sec²(x) O csc(x) O…

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Q: Express the given product as a sum containing only sines or cosines. cos (30) cos (60) www cos (30)…

A: The fomula used : 2 cos(A). cos(B) = cos (A + B) + cos (A - B).

Q: Sketch the graph of the function defined by the equation . Indicate the image, amplitude, period and…

A: We have to sketch the graph of the given function.

Q: How many periods of the function y=tan x are there between -7pi/6 and 11pi/6

A: Topic = Trigonometry

Q: 5. Determine two angles between 0° and 360° that have a secant of - 4. Round your answers to the…

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Q: Which set of radian angle measures is equivalent to sin−1⁡(−12)?

A: The maximum value of sin(x) =1 The minimum value of sin(x) = -1 The function sin(x) lies between -1…

Q: Find tanx

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Q: Find the inverse for each of the following functions. k(x) k−¹(x) g(x) = = 12x + 4 = 8 x + 2 g−¹(x)…

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Q: B a A b Use the right triangle and the given information to solve the triangle. a=2, c= 3; find b,…

A: Solving the problem by finding the value of the problem.

Q: Consider the following graph of the function f(z) which is a transformation of the cosine function.…

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Q: Two fire lookout towers at points A and B are 2 mi apart. Find the distances from points A and B to…

A: As we know that the law of sine for triangle is asinA=bsinB=csinC, where a,b,c are the length of the…

Q: What is the range of y = sec(x)?

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Q: 90°- 59° 625.0 -31°

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Q: Verify the identity. (3 sin 0+3 cos 0)2 = 9+9 sin 20 Begin by working with the left side. Square (3…

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Q: Determine whether the statement below is true or false. sin (x + 3) = sin a + sin ß+2 sin a sin ß…

A: The given statement,    sinα+β=sinα+sinβ+2sinα sinβ

Q: With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart…

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Q: A Ferris wheel is 45 meters in diameter and boarded from a platform that is 4 meters above the…

A: Given , A Ferris wheel is 45 meters in diameter and boarded from a platform that is 4 meters above…

Q: 8. Prove the following trigonometric identity cote = cose csc0

A: We need to prove the identity.

Q: Solve the equation for x if 0 < x < 2. Use a calculator to approximate all answers to the nearest…

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Q: 14. Given 0° ≤ 0 < 360°, solve 8 tan 0 0 O 0°, 180° O 90°, 270° Ooº 90°

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Q: 19. Simplify the expression cota cos² cot²a-cos² O -1 O-2 02 01

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Q: Suppose that cos a cos tan Find the exact values of cos and tan 2 2 a 2 0 > ܐ 0 2 13 and <a< ત Unde

A: We can find the answers as below.

Q: What are the domain and range of the relation? Is the relation a function? D={(0,0), (7,10), (1,16),…

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Q: If f(x)=2x-3 and g(x) = -2x²-3x+1, find (a) (fg)(x) and (b) (fg)(2). (a) (fg)(x) =

A: We have to find value of (fg)(x) and (fg)(2).

Q: You are in a tall building and from your window you notice a window washer working on the building…

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Q: Show that (sec 0 - tan 0)² = 1-sin 0 1+ sin 0

A: Formula used : Sin2x + cos2x = 1 a2 - b2 = (a-b)(a+b)

Q: ACTIVITY 1: Read each item carefully. Choose the letter of the correct answer. Write your answers on…

A: Find the side of triangle  We have to solve above 1,3

Q: Use the power reducing formulas to rewrite cotx sin*x in terms of the first power of cosine.…

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Q: Find the amplitude, period, and phase shift of the function. y = 4 + 2 sin 3(x + 1)

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Q: What are the three ways you can describe a function? Select all that apply. A. A graph B. A number…

A: To show: What are the ways to explain a function? (a) A graph (b) A number line (c) An expression…

Q: Suppose cos( a) = 2/7 where a is in Quadrant II and sin (b) = -4/8 where b is in Quadrant III. Find…

A: To find out the value of sin(a-b).

Q: Suppose sin(0) = -2/3 where 0 lies in Quadrant IV. Use this to find tan(20).

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Q: Use the relationship given in the right triangle and the inverse sine, cosine, and tangent functions…

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Q: The segments shown below could form a triangle. 9 A 4 с B ● A. True 11 B A

A: Given that the segments show below  To find the segments of the line are triangle it is true or…

Q: (b) If f-¹(7): Your answer is -4 = 6, find f(- 6). X

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Q: Does the graph of a horizontal line represent a function? Why or why not? Does it represent a…

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Q: Find phase shift sin ((1)/(4)x+(\pi )/(3))

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Q: Find sin 2π ( (27) :)) COS 3 Show your work.

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Q: Solve for x. Round to the nearest tenth, if necessary. Answer: x= N X M 6.8 32° O Submit Answer

A: Here, the triangle MNO is a right angle triangle.

Q: The table shows the approximate lengths and diameters (in inches) of common nails. Find a…

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Q: Use the method of completing the square to solve the equation ax²+bx+c=0 where a, b, c are real…

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Q: Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than…

A: Given: 3sec3x-3sec2x-3secx+3 We know that, a-b3=a3-3a2b+3ab2-b3 and a-b2=a2-2ab+b2.

Q: With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart…

A: Given ,  With each heartbeat, blood pressure increases as the heart contracts, then decreases as the…

Q: 1 A = 1 [₁ The Eigen values of the matrix 0 1 10 1 0 1 0,2,-1 O 0,0,1 O 0,2,2 O 0,1,2 O 0,-1,2 O

A: Topic = Matrix

Q: Find the exact value using a sum or difference identity. cos (-300°) ?

A: We can find the exact answer as below.

Q: Establish the identity 2 O A. cos2 0- sin ²0 1- cot² 0 О в. cos² 0-sin 20 1 - cot² 0 O C. cos ²0-sin…

A: We know, cot θ=cos θsin θ

Q: Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of…

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Q: Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than…

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