Exam 5: Trigonometric Functions

If n is an integer, n ∙ 180° represents an integer multiple of 180°, and (2n + 1) ∙ 90° represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined. - $\cot \left( \mathrm { n } \cdot 180 ^ { \circ } \right)$

(Multiple Choice)

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Question 221

Use the fundamental identities to find the value of the trigonometric function. -Find $\tan \theta$ , given that $\cos \theta = - 0.19080900$ and $\theta$ is in quadrant II.

(Multiple Choice)

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Question 222

Convert the angle to decimal degrees and round to the nearest hundredth of a degree. - $83 ^ { \circ } 43 ^ { \prime } 35 ^ { \prime \prime }$

(Multiple Choice)

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Question 223

Solve the problem. -Find the exact value of $x$ in the figure.

(Multiple Choice)

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Question 224

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - $y = 2 x , x \geq 0 ; \quad$ Find $\tan \theta$ .

(Multiple Choice)

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Question 225

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - $8 x + 3 y = 0 , x \leq 0 ; \quad$ Find $\csc \theta$

(Multiple Choice)

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Question 226

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 $\theta _ { . }$ - $( - 2,5 )$ $Sketch an angle \theta in standard position such that \theta has the least positive measure and the given point is on the terminal side of \theta _ { . } - ( - 2,5 )$

(Multiple Choice)

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Question 227

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - $\cot 35.3 ^ { \circ }$

(Multiple Choice)

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Question 228

Find the reference angle for the given angle. - $- 421 ^ { \circ }$

(Multiple Choice)

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Question 229

Find the exact value of the expression. - $\tan 2850 ^ { \circ }$

(Multiple Choice)

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Question 230

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - $\csc 23 ^ { \circ }$

(Multiple Choice)

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Question 231

Solve the problem. -The angle of elevation from a point on the ground to the top of a tower is $35 ^ { \circ } 13 ^ { \prime }$ . The angle of elevation from a point 166 feet farther back from the tower is $22 ^ { \circ } 28 ^ { \prime }$ . Find the height of the tower. Round to the nearest foot.

(Multiple Choice)

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Question 232

Solve the right triangle. - $\mathrm { a } = 3.3 \mathrm {~m} , \mathrm {~B} = 23.0 ^ { \circ } , \mathrm { C } = 90 ^ { \circ }$ Round values to one decimal place.

(Multiple Choice)

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Question 233

Find the angle of least positive measure coterminal with the given angle. - $- 22 ^ { \circ }$

(Multiple Choice)

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Question 234

Find all values of θ, if θ is in the interval [0, 360°) and has the given function value. - $\cot \theta = 1$

(Multiple Choice)

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Question 235

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 236

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. -II, $\frac { x } { y }$

(Multiple Choice)

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Question 237

Find the angle of least positive measure coterminal with the given angle. - $- 261 ^ { \circ }$

(Multiple Choice)

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Question 238

Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ. - $( 0 , - 6 ) ;$ Find $\cos \theta$

(Multiple Choice)

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Question 239

Identify the quadrant for the angle θ satisfying the following conditions. - $\csc \theta > 0$ and $\sec \theta > 0$

(Multiple Choice)

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Question 240

Showing 221 - 240 of 301

If n is an integer, n ∙ 180° represents an integer multiple of 180°, and (2n + 1) ∙ 90° represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined. - $\cot \left( \mathrm { n } \cdot 180 ^ { \circ } \right)$

Use the fundamental identities to find the value of the trigonometric function. -Find $\tan \theta$ , given that $\cos \theta = - 0.19080900$ and $\theta$ is in quadrant II.

Convert the angle to decimal degrees and round to the nearest hundredth of a degree. - $83 ^ { \circ } 43 ^ { \prime } 35 ^ { \prime \prime }$

Solve the problem. -Find the exact value of $x$ in the figure.

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - $y = 2 x , x \geq 0 ; \quad$ Find $\tan \theta$ .

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - $8 x + 3 y = 0 , x \leq 0 ; \quad$ Find $\csc \theta$

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - $\cot 35.3 ^ { \circ }$

Find the reference angle for the given angle. - $- 421 ^ { \circ }$

Find the exact value of the expression. - $\tan 2850 ^ { \circ }$

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - $\csc 23 ^ { \circ }$

Solve the problem. -The angle of elevation from a point on the ground to the top of a tower is $35 ^ { \circ } 13 ^ { \prime }$ . The angle of elevation from a point 166 feet farther back from the tower is $22 ^ { \circ } 28 ^ { \prime }$ . Find the height of the tower. Round to the nearest foot.

Solve the right triangle. - $\mathrm { a } = 3.3 \mathrm {~m} , \mathrm {~B} = 23.0 ^ { \circ } , \mathrm { C } = 90 ^ { \circ }$ Round values to one decimal place.

Find the angle of least positive measure coterminal with the given angle. - $- 22 ^ { \circ }$

Find all values of θ, if θ is in the interval [0, 360°) and has the given function value. - $\cot \theta = 1$

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 $\tan \mathrm { A }$ .

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. -II, $\frac { x } { y }$

Find the angle of least positive measure coterminal with the given angle. - $- 261 ^ { \circ }$

Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ. - $( 0 , - 6 ) ;$ Find $\cos \theta$

Identify the quadrant for the angle θ satisfying the following conditions. - $\csc \theta > 0$ and $\sec \theta > 0$

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

Review of Basic Concepts

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Exam 5: Trigonometric Functions

If n is an integer, n ∙ 180° represents an integer multiple of 180°, and (2n + 1) ∙ 90° represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined. - cot⁡(n⋅180∘)\cot \left( \mathrm { n } \cdot 180 ^ { \circ } \right)cot(n⋅180∘)

Use the fundamental identities to find the value of the trigonometric function. -Find tan⁡θ\tan \thetatanθ , given that cos⁡θ=−0.19080900\cos \theta = - 0.19080900cosθ=−0.19080900 and θ\thetaθ is in quadrant II.

Convert the angle to decimal degrees and round to the nearest hundredth of a degree. - 83∘43′35′′83 ^ { \circ } 43 ^ { \prime } 35 ^ { \prime \prime }83∘43′35′′

Solve the problem. -Find the exact value of xxx in the figure.

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - y=2x,x≥0;y = 2 x , x \geq 0 ; \quady=2x,x≥0; Find tan⁡θ\tan \thetatanθ .

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - 8x+3y=0,x≤0;8 x + 3 y = 0 , x \leq 0 ; \quad8x+3y=0,x≤0; Find csc⁡θ\csc \thetacscθ

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.\theta _ { . }θ.​ - (−2,5)( - 2,5 )(−2,5)

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - cot⁡35.3∘\cot 35.3 ^ { \circ }cot35.3∘

Find the reference angle for the given angle. - −421∘- 421 ^ { \circ }−421∘

Find the exact value of the expression. - tan⁡2850∘\tan 2850 ^ { \circ }tan2850∘

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - csc⁡23∘\csc 23 ^ { \circ }csc23∘

Solve the right triangle. - a=3.3 m, B=23.0∘,C=90∘\mathrm { a } = 3.3 \mathrm {~m} , \mathrm {~B} = 23.0 ^ { \circ } , \mathrm { C } = 90 ^ { \circ }a=3.3 m, B=23.0∘,C=90∘ Round values to one decimal place.

Find the angle of least positive measure coterminal with the given angle. - −22∘- 22 ^ { \circ }−22∘

Find all values of θ, if θ is in the interval [0, 360°) and has the given function value. - cot⁡θ=1\cot \theta = 1cotθ=1

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

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. -II, xy\frac { x } { y }yx​

Find the angle of least positive measure coterminal with the given angle. - −261∘- 261 ^ { \circ }−261∘

Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ. - (0,−6);( 0 , - 6 ) ;(0,−6); Find cos⁡θ\cos \thetacosθ

Identify the quadrant for the angle θ satisfying the following conditions. - csc⁡θ>0\csc \theta > 0cscθ>0 and sec⁡θ>0\sec \theta > 0secθ>0

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

Review of Basic Concepts

Filters

If n is an integer, n ∙ 180° represents an integer multiple of 180°, and (2n + 1) ∙ 90° represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined. - $\cot \left( \mathrm { n } \cdot 180 ^ { \circ } \right)$

Use the fundamental identities to find the value of the trigonometric function. -Find $\tan \theta$ , given that $\cos \theta = - 0.19080900$ and $\theta$ is in quadrant II.

Convert the angle to decimal degrees and round to the nearest hundredth of a degree. - $83 ^ { \circ } 43 ^ { \prime } 35 ^ { \prime \prime }$

Solve the problem. -Find the exact value of $x$ in the figure.

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - $y = 2 x , x \geq 0 ; \quad$ Find $\tan \theta$ .

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the indicated trigonometric function value of θ. Do not use a calculator. - $8 x + 3 y = 0 , x \leq 0 ; \quad$ Find $\csc \theta$

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - $\cot 35.3 ^ { \circ }$

Find the reference angle for the given angle. - $- 421 ^ { \circ }$

Find the exact value of the expression. - $\tan 2850 ^ { \circ }$

Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. - $\csc 23 ^ { \circ }$

Solve the right triangle. - $\mathrm { a } = 3.3 \mathrm {~m} , \mathrm {~B} = 23.0 ^ { \circ } , \mathrm { C } = 90 ^ { \circ }$ Round values to one decimal place.

Find the angle of least positive measure coterminal with the given angle. - $- 22 ^ { \circ }$

Find all values of θ, if θ is in the interval [0, 360°) and has the given function value. - $\cot \theta = 1$

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 $\tan \mathrm { A }$ .

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. -II, $\frac { x } { y }$

Find the angle of least positive measure coterminal with the given angle. - $- 261 ^ { \circ }$

Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ. - $( 0 , - 6 ) ;$ Find $\cos \theta$

Identify the quadrant for the angle θ satisfying the following conditions. - $\csc \theta > 0$ and $\sec \theta > 0$