Exam 5: Trigonometric Functions

Use transformations to graph the function. - $y = - 3 \cos \left( x - \frac { \pi } { 2 } \right)$ $Use transformations to graph the function. - y = - 3 \cos \left( x - \frac { \pi } { 2 } \right) A) B) C) D)$ A) $Use transformations to graph the function. - y = - 3 \cos \left( x - \frac { \pi } { 2 } \right) A) B) C) D)$ B) $Use transformations to graph the function. - y = - 3 \cos \left( x - \frac { \pi } { 2 } \right) A) B) C) D)$ C) $Use transformations to graph the function. - y = - 3 \cos \left( x - \frac { \pi } { 2 } \right) A) B) C) D)$ D) $Use transformations to graph the function. - y = - 3 \cos \left( x - \frac { \pi } { 2 } \right) A) B) C) D)$

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Question 41

Use transformations to graph the function. - $y=\sin (x+\pi)$ $Use transformations to graph the function. - y=\sin (x+\pi) A) B) C) D)$ A) $Use transformations to graph the function. - y=\sin (x+\pi) A) B) C) D)$ B) $Use transformations to graph the function. - y=\sin (x+\pi) A) B) C) D)$ C) $Use transformations to graph the function. - y=\sin (x+\pi) A) B) C) D)$ D) $Use transformations to graph the function. - y=\sin (x+\pi) A) B) C) D)$

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Question 42

Solve the problem. -A gear with a radius of 16 centimeters is turning at $\frac { \pi } { 11 }$ radians/sec. What is the linear speed at a point on the outer edge of the gear?

(Multiple Choice)

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Question 43

Find the exact value. Do not use a calculator. - $\cos \frac { 20 \pi } { 3 }$

(Multiple Choice)

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Question 44

Solve the problem. -If $\sin \theta = \frac { 1 } { 9 }$ , find $\csc \theta$

(Multiple Choice)

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Question 45

Find the phase shift of the function. - $y = - 5 \sin \left( \frac { 1 } { 2 } x - \frac { \pi } { 2 } \right)$

(Multiple Choice)

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Question 46

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - $\tan 50 ^ { \circ } - \frac { \sin 50 ^ { \circ } } { \cos 50 ^ { \circ } }$

(Multiple Choice)

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Question 47

Use transformations to graph the function. - $y=3 \cos x+2$ $Use transformations to graph the function. - y=3 \cos x+2 A) B) C) D)$ A) $Use transformations to graph the function. - y=3 \cos x+2 A) B) C) D)$ B) $Use transformations to graph the function. - y=3 \cos x+2 A) B) C) D)$ C) $Use transformations to graph the function. - y=3 \cos x+2 A) B) C) D)$ D) $Use transformations to graph the function. - y=3 \cos x+2 A) B) C) D)$

(Multiple Choice)

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Question 48

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - $\csc 1,080 ^ { \circ }$

(Multiple Choice)

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Question 49

Use a calculator to find the approximate value of the expression rounded to two decimal places. - $\cos \frac { 3 \pi } { 7 }$

(Multiple Choice)

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Question 50

Convert the angle in degrees to radians. Express the answer as multiple of $\pi .$ --45° A) $- \frac { \pi } { 5 }$ B) $- \frac { \pi } { 6 }$ C) $- \frac { \pi } { 4 }$ D) $- \frac { \pi } { 3 }$

(Multiple Choice)

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Question 51

Find the exact value. Do not use a calculator. - $\cot 2 \pi$

(Multiple Choice)

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Question 52

Find the exact value. Do not use a calculator. - $\cos \frac { \pi } { 2 }$

(Multiple Choice)

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Question 53

Find the exact value of the expression if θ = 45°. Do not use a calculator. - $g ( \theta ) = \cos \theta \quad$ Find $12 g ( \theta )$ .

(Multiple Choice)

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Question 54

Find the length s. Round the answer to three decimal places. -

(Multiple Choice)

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Question 55

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - $\tan 540 ^ { \circ }$

(Multiple Choice)

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Question 56

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - $\sin ^ { 2 } 80 ^ { \circ } + \cos ^ { 2 } 80 ^ { \circ }$

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Question 57

Find the exact value. Do not use a calculator. - $\sin 495 ^ { \circ }$

(Multiple Choice)

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Question 58

Graph the function. - $y=2 \tan (4 x)$ $Graph the function. - y=2 \tan (4 x) A) B) C) D)$ A) $Graph the function. - y=2 \tan (4 x) A) B) C) D)$ B) $Graph the function. - y=2 \tan (4 x) A) B) C) D)$ C) $Graph the function. - y=2 \tan (4 x) A) B) C) D)$ D) $Graph the function. - y=2 \tan (4 x) A) B) C) D)$

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Question 59

Graph the function. - $y=-\cot x$ $Graph the function. - y=-\cot x A) B) C) D)$ A) $Graph the function. - y=-\cot x A) B) C) D)$ B) $Graph the function. - y=-\cot x A) B) C) D)$ C) $Graph the function. - y=-\cot x A) B) C) D)$ D) $Graph the function. - y=-\cot x A) B) C) D)$

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Question 60

Showing 41 - 60 of 366

Solve the problem. -A gear with a radius of 16 centimeters is turning at $\frac { \pi } { 11 }$ radians/sec. What is the linear speed at a point on the outer edge of the gear?

Find the exact value. Do not use a calculator. - $\cos \frac { 20 \pi } { 3 }$

Solve the problem. -If $\sin \theta = \frac { 1 } { 9 }$ , find $\csc \theta$

Find the phase shift of the function. - $y = - 5 \sin \left( \frac { 1 } { 2 } x - \frac { \pi } { 2 } \right)$

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - $\tan 50 ^ { \circ } - \frac { \sin 50 ^ { \circ } } { \cos 50 ^ { \circ } }$

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - $\csc 1,080 ^ { \circ }$

Use a calculator to find the approximate value of the expression rounded to two decimal places. - $\cos \frac { 3 \pi } { 7 }$

Convert the angle in degrees to radians. Express the answer as multiple of $\pi .$ --45° A) $- \frac { \pi } { 5 }$ B) $- \frac { \pi } { 6 }$ C) $- \frac { \pi } { 4 }$ D) $- \frac { \pi } { 3 }$

Find the exact value. Do not use a calculator. - $\cot 2 \pi$

Find the exact value. Do not use a calculator. - $\cos \frac { \pi } { 2 }$

Find the exact value of the expression if θ = 45°. Do not use a calculator. - $g ( \theta ) = \cos \theta \quad$ Find $12 g ( \theta )$ .

Find the length s. Round the answer to three decimal places. -

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - $\tan 540 ^ { \circ }$

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - $\sin ^ { 2 } 80 ^ { \circ } + \cos ^ { 2 } 80 ^ { \circ }$

Find the exact value. Do not use a calculator. - $\sin 495 ^ { \circ }$

Graph the function. - $y=-\cot x$ $Graph the function. - y=-\cot x A) B) C) D)$ A) $Graph the function. - y=-\cot x A) B) C) D)$ B) $Graph the function. - y=-\cot x A) B) C) D)$ C) $Graph the function. - y=-\cot x A) B) C) D)$ D) $Graph the function. - y=-\cot x A) B) C) D)$

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

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Exam 5: Trigonometric Functions

Use transformations to graph the function. - y=−3cos⁡(x−π2)y = - 3 \cos \left( x - \frac { \pi } { 2 } \right)y=−3cos(x−2π​) A) B) C) D)

Use transformations to graph the function. - y=sin⁡(x+π)y=\sin (x+\pi)y=sin(x+π) A) B) C) D)

Solve the problem. -A gear with a radius of 16 centimeters is turning at π11\frac { \pi } { 11 }11π​ radians/sec. What is the linear speed at a point on the outer edge of the gear?

Find the exact value. Do not use a calculator. - cos⁡20π3\cos \frac { 20 \pi } { 3 }cos320π​

Solve the problem. -If sin⁡θ=19\sin \theta = \frac { 1 } { 9 }sinθ=91​ , find csc⁡θ\csc \thetacscθ

Find the phase shift of the function. - y=−5sin⁡(12x−π2)y = - 5 \sin \left( \frac { 1 } { 2 } x - \frac { \pi } { 2 } \right)y=−5sin(21​x−2π​)

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - tan⁡50∘−sin⁡50∘cos⁡50∘\tan 50 ^ { \circ } - \frac { \sin 50 ^ { \circ } } { \cos 50 ^ { \circ } }tan50∘−cos50∘sin50∘​

Use transformations to graph the function. - y=3cos⁡x+2y=3 \cos x+2y=3cosx+2 A) B) C) D)

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - csc⁡1,080∘\csc 1,080 ^ { \circ }csc1,080∘

Use a calculator to find the approximate value of the expression rounded to two decimal places. - cos⁡3π7\cos \frac { 3 \pi } { 7 }cos73π​

Convert the angle in degrees to radians. Express the answer as multiple of π.\pi .π. --45° A) −π5- \frac { \pi } { 5 }−5π​ B) −π6- \frac { \pi } { 6 }−6π​ C) −π4- \frac { \pi } { 4 }−4π​ D) −π3- \frac { \pi } { 3 }−3π​

Find the exact value. Do not use a calculator. - cot⁡2π\cot 2 \picot2π

Find the exact value. Do not use a calculator. - cos⁡π2\cos \frac { \pi } { 2 }cos2π​

Find the exact value of the expression if θ = 45°. Do not use a calculator. - g(θ)=cos⁡θg ( \theta ) = \cos \theta \quadg(θ)=cosθ Find 12g(θ)12 g ( \theta )12g(θ) .

Find the length s. Round the answer to three decimal places. -

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - tan⁡540∘\tan 540 ^ { \circ }tan540∘

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - sin⁡280∘+cos⁡280∘\sin ^ { 2 } 80 ^ { \circ } + \cos ^ { 2 } 80 ^ { \circ }sin280∘+cos280∘

Find the exact value. Do not use a calculator. - sin⁡495∘\sin 495 ^ { \circ }sin495∘

Graph the function. - y=2tan⁡(4x)y=2 \tan (4 x)y=2tan(4x) A) B) C) D)

Graph the function. - y=−cot⁡xy=-\cot xy=−cotx A) B) C) D)

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

Filters

Solve the problem. -A gear with a radius of 16 centimeters is turning at $\frac { \pi } { 11 }$ radians/sec. What is the linear speed at a point on the outer edge of the gear?

Find the exact value. Do not use a calculator. - $\cos \frac { 20 \pi } { 3 }$

Solve the problem. -If $\sin \theta = \frac { 1 } { 9 }$ , find $\csc \theta$

Find the phase shift of the function. - $y = - 5 \sin \left( \frac { 1 } { 2 } x - \frac { \pi } { 2 } \right)$

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - $\tan 50 ^ { \circ } - \frac { \sin 50 ^ { \circ } } { \cos 50 ^ { \circ } }$

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - $\csc 1,080 ^ { \circ }$

Use a calculator to find the approximate value of the expression rounded to two decimal places. - $\cos \frac { 3 \pi } { 7 }$

Convert the angle in degrees to radians. Express the answer as multiple of $\pi .$ --45° A) $- \frac { \pi } { 5 }$ B) $- \frac { \pi } { 6 }$ C) $- \frac { \pi } { 4 }$ D) $- \frac { \pi } { 3 }$

Find the exact value. Do not use a calculator. - $\cot 2 \pi$

Find the exact value. Do not use a calculator. - $\cos \frac { \pi } { 2 }$

Find the exact value of the expression if θ = 45°. Do not use a calculator. - $g ( \theta ) = \cos \theta \quad$ Find $12 g ( \theta )$ .

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. - $\tan 540 ^ { \circ }$

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. - $\sin ^ { 2 } 80 ^ { \circ } + \cos ^ { 2 } 80 ^ { \circ }$

Find the exact value. Do not use a calculator. - $\sin 495 ^ { \circ }$

Graph the function. - $y=-\cot x$ $Graph the function. - y=-\cot x A) B) C) D)$ A) $Graph the function. - y=-\cot x A) B) C) D)$ B) $Graph the function. - y=-\cot x A) B) C) D)$ C) $Graph the function. - y=-\cot x A) B) C) D)$ D) $Graph the function. - y=-\cot x A) B) C) D)$