Question 1

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for .
-cos((2n + 1)· 90°)

Accepted Answer

A) 1 
B) Undefined 
C) 0 
D) -1 
A) 1 
B) Undefined 
C) 0 
D) -1

Question 2

Convert the angle to degrees, minutes, and seconds.
-102.5° and 42.4°

Accepted Answer

A) 55.1° 
B) 35.1° 
C) 45.1° 
D) 215.1° 
A) 55.1° 
B) 35.1° 
C) 45.1° 
D) 215.1°

Question 3

The triangles are similar. Find the missing side, angle or value of the variable.
-(3, 6)

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 4

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.
-csc ϴ, given that sin ϴ = -0.0214

Accepted Answer

A) 23.365 
B) 46.729 
C) -23.365 
D) -46.729 
A) 23.365 
B) 46.729 
C) -23.365 
D) -46.729

Question 5

Find the angle of least positive measure coterminal with the given angle.
-1280°

Accepted Answer

A) 110° 
B) 20° 
C) 200° 
D) 560° 
A) 110° 
B) 20° 
C) 200° 
D) 560°

Question 6

Use the fundamental identities to find the value of the trigonometric function.
-AC

Accepted Answer

A)  Cannot be determined 
B)  RT 
C)  $S R$ 
D)  ST 
A)  Cannot be determined 
B)  RT 
C)  $S R$ 
D)  ST

Question 7

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.
-$- 2 x - 5 y = 0 , x \leq 0 ; \quad$ Find $\sec \theta$.

Accepted Answer

A)  $- \frac { 2 } { 5 }$ 
B)  $- \frac { 5 \sqrt { 29 } } { 29 }$ 
C)  $- \frac { 5 } { 2 }$ 
D)  $- \frac { \sqrt { 29 } } { 5 }$ 
A)  $- \frac { 2 } { 5 }$ 
B)  $- \frac { 5 \sqrt { 29 } } { 29 }$ 
C)  $- \frac { 5 } { 2 }$ 
D)  $- \frac { \sqrt { 29 } } { 5 }$

Question 8

Use the fundamental identities to find the value of the trigonometric function.
-Find $\cos \theta$, given that $\sin \theta = - \frac { 5 } { 13 }$ and $\theta$ is in quadrant III.

Accepted Answer

A)  $- \frac { 12 } { 13 }$ 
B)  $- \frac { 5 } { 12 }$ 
C)  $- \frac { 13 } { 5 }$ 
D)  $\frac { 12 } { 5 }$ 
A)  $- \frac { 12 } { 13 }$ 
B)  $- \frac { 5 } { 12 }$ 
C)  $- \frac { 13 } { 5 }$ 
D)  $\frac { 12 } { 5 }$

Question 9

Find the measure of each angle in the problem.
-AC (AB is parallel to DE.)

Accepted Answer

A)  $\mathrm { EC }$ 
B)  $C D$ 
C)  $D E$ 
D)  Cannot be determined 
A)  $\mathrm { EC }$ 
B)  $C D$ 
C)  $D E$ 
D)  Cannot be determined

Question 10

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

Accepted Answer

A)  Quadrant I 
B)  Quadrant III 
C)  Quadrant IV 
D)  Quadrant II 
A)  Quadrant I 
B)  Quadrant III 
C)  Quadrant IV 
D)  Quadrant II

Question 11

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, $\frac { y } { x }$

Accepted Answer

A)  Positive 
B)  Negative 
A)  Positive 
B)  Negative

Question 12

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.
-$\mathrm { IV } , \frac { \mathrm { r } } { \mathrm { y } }$

Accepted Answer

A)  Negative 
B)  Positive 
A)  Negative 
B)  Positive

Question 13

The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.
-C

Accepted Answer

A)  $\mathrm { C }$ 
B)  $R$ 
C)  $\mathrm { T }$ 
D)  $S$ 
A)  $\mathrm { C }$ 
B)  $R$ 
C)  $\mathrm { T }$ 
D)  $S$

Question 14

Convert the angle to degrees, minutes, and seconds.
-20.92°

Accepted Answer

A) 20°55´12´´ 
B) 20°55´2´´ 
C) 20°65´2´´ 
D) 20°65´12´´ 
A) 20°55´12´´ 
B) 20°55´2´´ 
C) 20°65´2´´ 
D) 20°65´12´´

Question 15

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.
-sec (-59°)and sin (-59°)

Accepted Answer

A) negative and positive 
B) positive and positive 
C) negative and negative 
D) positive and negative 
A) negative and positive 
B) positive and positive 
C) negative and negative 
D) positive and negative

Question 16

Evaluate the expression.
-A wheel makes 192 revolutions per minute. How many revolutions does it make per second?

Accepted Answer

A) 1.92 revolutions per second 
B) 6.4 revolutions per second 
C) 1152 revolutions per second 
D) 3.2 revolutions per second 
A) 1.92 revolutions per second 
B) 6.4 revolutions per second 
C) 1152 revolutions per second 
D) 3.2 revolutions per second

Question 17

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.
-Lines m and n are parallel.  
$a = ( 4 x + 10 ) ^ { \circ }$
$b = ( 5 x + 143 ) ^ { \circ }$

Accepted Answer

A)  $3 ^ { \circ } , 177 ^ { \circ }$ 
B)  $87 ^ { \circ } , 93 ^ { \circ }$ 
C)  $\circ 172 ^ { \circ }$ 
D)  $22 ^ { \circ } , 158 ^ { \circ }$ 
A)  $3 ^ { \circ } , 177 ^ { \circ }$ 
B)  $87 ^ { \circ } , 93 ^ { \circ }$ 
C)  $\circ 172 ^ { \circ }$ 
D)  $22 ^ { \circ } , 158 ^ { \circ }$

Question 18

Use the properties of angle measures to find the measure of each marked angle.
-Lines m and n are parallel.  
$$a = ( 2 x + 66 ) ^ { \circ }$$
$$\mathrm { b } = ( 4 \mathrm { x } + 8 ) ^ { \circ }$$

Accepted Answer

A)  $64 ^ { \circ } , 64 ^ { \circ }$ 
B)  $151 ^ { \circ } , 151 ^ { \circ }$ 
C)  $29 ^ { \circ } , 29 ^ { \circ }$ 
D)  $124 ^ { \circ } , 124 ^ { \circ }$ 
A)  $64 ^ { \circ } , 64 ^ { \circ }$ 
B)  $151 ^ { \circ } , 151 ^ { \circ }$ 
C)  $29 ^ { \circ } , 29 ^ { \circ }$ 
D)  $124 ^ { \circ } , 124 ^ { \circ }$

Question 19

Use the fundamental identities to find the value of the trigonometric function.
-cos 0° - 3 sin 90°

Accepted Answer

A) 0 
B) -2 
C) -3 
D) 1 
A) 0 
B) -2 
C) -3 
D) 1

Question 20

Find the measure of each angle in the problem.
-sec(-180°)

Accepted Answer

A) -1 
B) Undefined 
C) 1 
A) -1 
B) Undefined 
C) 1

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the indicated trig function for . -cos((2n + 1)· 90°)

Convert the angle to degrees, minutes, and seconds. -102.5° and 42.4°

The triangles are similar. Find the missing side, angle or value of the variable. -(3, 6)

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. -csc ϴ, given that sin ϴ = -0.0214

Find the angle of least positive measure coterminal with the given angle. -1280°

Use the fundamental identities to find the value of the trigonometric function. -AC

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the indicated trigonometric function value of . Do not use a calculator. - $- 2 x - 5 y = 0 , x \leq 0 ; \quad$ Find $\sec \theta$ .

Use the fundamental identities to find the value of the trigonometric function. -Find $\cos \theta$ , given that $\sin \theta = - \frac { 5 } { 13 }$ and $\theta$ is in quadrant III.

Find the measure of each angle in the problem. -AC (AB is parallel to DE.)

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

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, $\frac { y } { x }$

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. - $\mathrm { IV } , \frac { \mathrm { r } } { \mathrm { y } }$

The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle. -C

Convert the angle to degrees, minutes, and seconds. -20.92°

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. -sec (-59°)and sin (-59°)

Evaluate the expression. -A wheel makes 192 revolutions per minute. How many revolutions does it make per second?

Use the fundamental identities to find the value of the trigonometric function. -cos 0° - 3 sin 90°

Find the measure of each angle in the problem. -sec(-180°)

Acute Angles and Right Triangles

Radian Measure and the Unit Circle

Graphs of the Circular Functions

Trigonometric Identities

Inverse Circular Functions and Trigonometric Equations

Applications of Trigonometry and Vectors

Complex Numbers, Polar Equations, and Parametric Equations

Filters

Exam 1: Trigonometric Functions