Given the equation y=6cot (7x-21) (A) Find the period (B) Find the horizontal shift Where is it unit to ? ? |

Q: Show that the lines L₁ : x = 3-t, y = 2t, z = 3 + t and L₂: x= 1+ 4t, y = 3-8t, z = 5 - 4t are…

A:

Q: Use the properties of limits to help decide whether each limit exits. If a limit exists, find its…

A: f(x)=-3x+6  if x≤1-2x+5  if x>1  condition for f(x) continuse at x=1limx→1+f(x)=limx→1-f(x)=f(1)

Q: Use the given value to evaluate each function. (a) sin(t) (b) csc(t) sin(-t) = N|a

A:

Q: How long should an escalator be if it is to make an angle of 38° with the floor and carry people a…

A:

Q: Solve each equation to the nearest tenth. Use the given restriction: cos e = -0.25 for 180°<<270°…

A:

Q: the expression, replace x with 30 y with 45 th 60°, and then simplify as much as possible wer…

A: We will find the required

Q: use half-angle formulas to find the exact value of cos(7π/8). simplify any complex fractions if…

A:

Q: Solve 3 cotx- 1 = 0 on the interval x = [0, 2], to the nearest hundred

A: We have to solve for x.

Q: Graph the inverse for each relation below (put your answer on the same graph). 13. -5-4-3-2 3 -2 -3…

A:

Q: Sketch a triangle that has acute angle 8. tan(0)

A:

Q: If the terminal side of angle goes through the point (-7, -24), find sec(0).

A: Given: Terminal side of angle θ goes through the point (-7,-24).

Q: Use the fundamental identities to find the value of the trigonometric function. Find sec 0 if tan 8…

A: We have given trigonometric equation  tanθ=34 Using trigonometric identity…

Q: Choose the values of arctan(—V3) Select one or more: a. IT 3 b. Oc. - d. kl klo 3 -30° None

A: let     arctan(-3)=xwe know tan(-x)=-tanx

Q: Find the equation of the secant line through the points where x has the given values. f(x)=3-x²; x =…

A:

Q: In what quadrant does the terminal ray of the angle lie? Select Quadrant I, Quadrant II, Quadrant…

A: we find the Quadrant of the given angle.

Q: The diagonal of a rectangle is 374 millimeters, while the longer side is 321 millimeters. Find the…

A: Given: The diagonal of a rectangle is 374 millimeters, while the longer side is 321 millimeters.

Q: Solve the equation for exact solutions over the interval [0, 27). cos2x+ 2 cos x + 1 = 0 O {n} O…

A:

Q: 5. A sine function has an amplitude of 3, a period of , and a vertical translation of 1 unit up. If…

A: Sine fuction y = Asin( bx - c ) + dA = amplitude = 3 b = 2πT = 2ππ = 2 d = vertical shift = + 1 unit…

Q: Rewrite sin57 degrees in terms of its cofunction.

A: let D=sin(57°)we know according to cofunction theorysin(θ)=cos(90-θ)

Q: Calculate the magnitude and direction angle of . 07.5 012 09.4 13.6 36* 144" 216" 324

A: v=&lt;11,-8&gt;magnitude =x2+y2tanθ=yx

Q: (-4x) (−14x)

A:

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t =  5? 3…

A:

Q: Compute the following using a calculator: csc(86°). Round your answer to two decimal places.

A: Given csc860

Q: Given COS(X)=, what is the value of cos(x + n)?

A: given  cos(x)=12we know that cos(π+x)=-cos(x)

Q: I I A 15 cm B 120° :: 132.5 sq.cm. :: 78.5 sq.cm. 19 cm C :: 123.4 sq.cm. :: 46.5 sq.cm.

A:

Q: A pedal on a bicycle has an arm length of 20 cm and rotates about an axle 32 cm above the ground. If…

A: Given: Amplitude= 20 Horizontal shift= 0 Vertical shift= 32 Time taken by pedal to complete 20…

Q: Convert the angle 105 degrees to radians. Give exact value

A:

Q: x 72 in. 0 The figure above shows a right triangle with dimensions in inches. If = 55°, what is the…

A:

Q: If mzB = 111°, a = 12, and c= 6, what are the measures of the remaining side and angles?

A:

Q: ch an angle 0 in standard position such that has the least possible positive measure and the point…

A: Given query is to find 6 trigonometric functions for point (-5,12).

Q: Find the component form of the indicated vector. Let u = , v= . Find 6u - 5v. O (-34-8) O (-72, -30)…

A:

Q: Use the Cofunction Theorem to fill in the blanks so that the expression becomes a true statement.…

A:

Q: Find the angle, in degrees between 0 and 360°, which intersects the unit circle at the point (-³,…

A:

Q: If mzB = 13°, a = 15, and c=21, what are the measures of the remaining side and angles?

A: given m∠B=13°a=15c=21accordinr to sin law we know sin(A)a=sin(B)b=sin(C)c

Q: Complete the table and use the result to find the indicated limit. If f(x) = [IX) X X-4 find him…

A: Given: f(x)=x-4x-2

Q: What is the exact value of sin(-150°)?

A:

Q: ve the identity: cos3x = cos3x. (4cos2x-3)

A: We are asked to prove the identity

Q: An equilateral triangle has an altitude of 5.4 inches. Find the length of the sides rounded to at…

A: Introduction: In geometry, an equilateral triangle is a triangle that has all its sides equal in…

Q: A boat travels on a course of bearing N 48°20' W for 74.2 miles. How many miles north and how many…

A: Given angle north to west ( θ ) = 48°20'θ = 48 + 2060θ = 48.33°Let d( distnace travelled ) = 74.2…

Q: which quadrant would an angle x lie if cosx is negative and cotx is negative?

A:

Q: This problem refers to a right triangle ABC with C = 90°. Begin each problem by drawing a picture of…

A:

Q: 2a Given That I = tan = x² Show That Cosx z 2 1-12 1444

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Nick stands 23 feet away from a highway sign and measures the angle of elevation to its top to be…

A:

Q: Which of the following are the values of sin and cos if the terminal side of angle intersects the…

A: We have given a point on the unit circle  x=625 Unit circle : radiusr=1 Equation of the unit circle…

Q: In terms of the cotangent of a positive acute angle, what is the expression for cot ¹7?

A: Given,  Trigonometric equation Cot 17π9   To find : Expression in terms of cotangent positive acute…

Q: 6. sin³ x cos³x = (sin³ x - sinx) (cos x) COS 6 1-sin 8 7. tan 9 + sec 0 = 8. +tan x = secx cscx

A:

Q: Use a reference angle to write csc 295° in terms of the cosecant of a positive acute angle.

A: INTRODUCTION The reference angle is an angle related to the angles in a right triangle. It is the…

Q: Solve the problem. The cost of manufacturing a particular videotape is c(x) = 10,000+ 12x, where x…

A: Given query is to find indicated limit.

Q: Given AABC with m<B= 62°, a = 14, and c= 16, what is the measure of A?

A:

Q: Determine the area of the segment cut off the circle x² + y² = 4 by the line 3y = √3x + 2√3. Include…

A: A detailed solution is given below.