Exam 6: Trigonometric Functions

Determine the signs of the given trigonometric functions of an angle in standard position with the given measure. - $\cos \left( - 185 ^ { \circ } \right)$ and $\tan \left( - 185 ^ { \circ } \right)$

(Multiple Choice)

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Question 161

Provide an appropriate response. -Find the supplement of an angle whose measure is 58°.

(Multiple Choice)

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Question 162

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value is a decimal, round your answer to three decimal places. - $\tan \theta$ , given that $\cot \theta = \frac { \sqrt { 5 } } { 4 }$

(Multiple Choice)

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Question 163

Evaluate the expression. - $\tan \left( n \cdot 180 ^ { \circ } \right)$

(Multiple Choice)

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Question 164

Sketch an angle $\theta$ in standard position such that $\theta$ has the least positive measure and the given point is on the terminal side of $\theta$ (3, 6) - $( 4 , - 2 )$ $Sketch an angle \theta in standard position such that \theta has the least positive measure and the given point is on the terminal side of \theta (3, 6) - ( 4 , - 2 )$

(Multiple Choice)

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Question 165

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. - $\text { III, } \frac { x } { y }$

(Multiple Choice)

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Question 166

Identify the quadrant for the angle $\theta$ satisfying the following conditions. - $\sec \theta < 0 \text { and } \tan \theta < 0$

(Multiple Choice)

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Question 167

Solve the problem for the given information. -What angle does the line y = x make with the positive x-axis?

(Multiple Choice)

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Question 168

Solve the problem for the given information. -Find the equation of a line passing through the origin and making a $45 ^ { \circ }$ angle with the positive $x$ -axis.

(Multiple Choice)

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Question 169

Identify the quadrant for the angle $\theta$ satisfying the following conditions. - $\tan \theta > 0$ and $\sin \theta < 0$

(Multiple Choice)

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Question 170

Find the exact value of the expression. - $\csc 480 ^ { \circ }$

(Multiple Choice)

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Question 171

Use the fundamental identities to find the value of the trigonometric function. -Find $\tan \theta$ , given that $\sin \theta = \frac { 3 } { 4 }$ and $\theta$ is in quadrant II.

(Multiple Choice)

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Question 172

Find the exact value of the expression. - $\cot 45 ^ { \circ }$

(Multiple Choice)

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Question 173

Convert the angle to degrees, minutes, and seconds. - $148.81 ^ { \circ }$

(Multiple Choice)

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Question 174

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle. - $10 ^ { \circ }$

(Multiple Choice)

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Question 175

Without using a calculator, give the exact trigonometric function value with rational denominator. - $\cos 30 ^ { \circ }$

(Multiple Choice)

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Question 176

Evaluate the function requested. Write your answer as a fraction in lowest terms. - $Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find \cos B .$ Find $\cos B$ .

(Multiple Choice)

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Question 177

Find the reference angle for the given angle. --425°

(Multiple Choice)

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Question 178

Evaluate the function requested. Write your answer as a fraction in lowest terms. - $Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find \tan \mathrm { A } .$ Find $\tan \mathrm { A }$ .

(Multiple Choice)

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Question 179

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. -Find $\sin \mathrm { A }$ when $\mathrm { b } = 30$ and $\mathrm { c } = 50$

(Multiple Choice)

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Question 180

Showing 161 - 180 of 297

Determine the signs of the given trigonometric functions of an angle in standard position with the given measure. - $\cos \left( - 185 ^ { \circ } \right)$ and $\tan \left( - 185 ^ { \circ } \right)$

Provide an appropriate response. -Find the supplement of an angle whose measure is 58°.

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value is a decimal, round your answer to three decimal places. - $\tan \theta$ , given that $\cot \theta = \frac { \sqrt { 5 } } { 4 }$

Evaluate the expression. - $\tan \left( n \cdot 180 ^ { \circ } \right)$

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. - $\text { III, } \frac { x } { y }$

Identify the quadrant for the angle $\theta$ satisfying the following conditions. - $\sec \theta < 0 \text { and } \tan \theta < 0$

Solve the problem for the given information. -What angle does the line y = x make with the positive x-axis?

Solve the problem for the given information. -Find the equation of a line passing through the origin and making a $45 ^ { \circ }$ angle with the positive $x$ -axis.

Identify the quadrant for the angle $\theta$ satisfying the following conditions. - $\tan \theta > 0$ and $\sin \theta < 0$

Find the exact value of the expression. - $\csc 480 ^ { \circ }$

Use the fundamental identities to find the value of the trigonometric function. -Find $\tan \theta$ , given that $\sin \theta = \frac { 3 } { 4 }$ and $\theta$ is in quadrant II.

Find the exact value of the expression. - $\cot 45 ^ { \circ }$

Convert the angle to degrees, minutes, and seconds. - $148.81 ^ { \circ }$

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle. - $10 ^ { \circ }$

Without using a calculator, give the exact trigonometric function value with rational denominator. - $\cos 30 ^ { \circ }$

Evaluate the function requested. Write your answer as a fraction in lowest terms. - $Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find \cos B .$ Find $\cos B$ .

Find the reference angle for the given angle. --425°

Evaluate the function requested. Write your answer as a fraction in lowest terms. - $Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find \tan \mathrm { A } .$ Find $\tan \mathrm { A }$ .

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

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Exam 6: Trigonometric Functions

Determine the signs of the given trigonometric functions of an angle in standard position with the given measure. - cos⁡(−185∘)\cos \left( - 185 ^ { \circ } \right)cos(−185∘) and tan⁡(−185∘)\tan \left( - 185 ^ { \circ } \right)tan(−185∘)

Provide an appropriate response. -Find the supplement of an angle whose measure is 58°.

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value is a decimal, round your answer to three decimal places. - tan⁡θ\tan \thetatanθ , given that cot⁡θ=54\cot \theta = \frac { \sqrt { 5 } } { 4 }cotθ=45​​

Evaluate the expression. - tan⁡(n⋅180∘)\tan \left( n \cdot 180 ^ { \circ } \right)tan(n⋅180∘)

Sketch an angle θ\thetaθ in standard position such that θ\thetaθ has the least positive measure and the given point is on the terminal side of θ\thetaθ (3, 6) - (4,−2)( 4 , - 2 )(4,−2)

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. - III, xy\text { III, } \frac { x } { y } III, yx​

Identify the quadrant for the angle θ\thetaθ satisfying the following conditions. - sec⁡θ<0 and tan⁡θ<0\sec \theta < 0 \text { and } \tan \theta < 0secθ<0 and tanθ<0

Solve the problem for the given information. -What angle does the line y = x make with the positive x-axis?

Solve the problem for the given information. -Find the equation of a line passing through the origin and making a 45∘45 ^ { \circ }45∘ angle with the positive xxx -axis.

Identify the quadrant for the angle θ\thetaθ satisfying the following conditions. - tan⁡θ>0\tan \theta > 0tanθ>0 and sin⁡θ<0\sin \theta < 0sinθ<0

Find the exact value of the expression. - csc⁡480∘\csc 480 ^ { \circ }csc480∘

Use the fundamental identities to find the value of the trigonometric function. -Find tan⁡θ\tan \thetatanθ , given that sin⁡θ=34\sin \theta = \frac { 3 } { 4 }sinθ=43​ and θ\thetaθ is in quadrant II.

Find the exact value of the expression. - cot⁡45∘\cot 45 ^ { \circ }cot45∘

Convert the angle to degrees, minutes, and seconds. - 148.81∘148.81 ^ { \circ }148.81∘

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle. - 10∘10 ^ { \circ }10∘

Without using a calculator, give the exact trigonometric function value with rational denominator. - cos⁡30∘\cos 30 ^ { \circ }cos30∘

Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find cos⁡B\cos BcosB .

Find the reference angle for the given angle. --425°

Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find tan⁡A\tan \mathrm { A }tanA .

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Determine the signs of the given trigonometric functions of an angle in standard position with the given measure. - $\cos \left( - 185 ^ { \circ } \right)$ and $\tan \left( - 185 ^ { \circ } \right)$

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value is a decimal, round your answer to three decimal places. - $\tan \theta$ , given that $\cot \theta = \frac { \sqrt { 5 } } { 4 }$

Evaluate the expression. - $\tan \left( n \cdot 180 ^ { \circ } \right)$

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. - $\text { III, } \frac { x } { y }$

Identify the quadrant for the angle $\theta$ satisfying the following conditions. - $\sec \theta < 0 \text { and } \tan \theta < 0$

Solve the problem for the given information. -Find the equation of a line passing through the origin and making a $45 ^ { \circ }$ angle with the positive $x$ -axis.

Identify the quadrant for the angle $\theta$ satisfying the following conditions. - $\tan \theta > 0$ and $\sin \theta < 0$

Find the exact value of the expression. - $\csc 480 ^ { \circ }$

Use the fundamental identities to find the value of the trigonometric function. -Find $\tan \theta$ , given that $\sin \theta = \frac { 3 } { 4 }$ and $\theta$ is in quadrant II.

Find the exact value of the expression. - $\cot 45 ^ { \circ }$

Convert the angle to degrees, minutes, and seconds. - $148.81 ^ { \circ }$

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle. - $10 ^ { \circ }$

Without using a calculator, give the exact trigonometric function value with rational denominator. - $\cos 30 ^ { \circ }$

Evaluate the function requested. Write your answer as a fraction in lowest terms. - $Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find \cos B .$ Find $\cos B$ .

Evaluate the function requested. Write your answer as a fraction in lowest terms. - $Evaluate the function requested. Write your answer as a fraction in lowest terms. - Find \tan \mathrm { A } .$ Find $\tan \mathrm { A }$ .