Question 1

Use the reciprocal identities for the following problem. If   , find sin  θ . ​

Accepted Answer

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

Question 2

For points    in quadrant IV, the ratio    is always negative because x is always positive and y is always negative. In what other quadrant is the ratio    always negative?

Accepted Answer

The answer of For points    in quadrant IV,...

Question 3

Name a point on the terminal side of 240°.

Accepted Answer

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

Question 4

Find the right part of the identity.    __________ ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 5

Find sin  θ  and tan  θ  if the terminal side of θ  lies along the line    in quadrant I. ​

Accepted Answer

A)    ,    
B)    ,    
C)    ,    
D)    ,    
E)    ,    
A)    ,    
B)    ,    
C)    ,    
D)    ,    
E)    ,

Question 6

Simplify the expression    as much as possible after substituting    for x . ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 7

Graph the following circle.

Accepted Answer

A) ​    
B) ​    
C) ​    
D) ​   
E) ​   
A) ​    
B) ​    
C) ​    
D) ​   
E) ​

Question 8

Which of the following angles are coterminal with -  45°?

Accepted Answer

A) 0405° 
B) 045° 
C) 0315° 
D) -  315° 
E) -  405° 
A) 0405° 
B) 045° 
C) 0315° 
D) -  315° 
E) -  405°

Question 9

Find the distance between the points:   ,

Accepted Answer

The answer of Find the distance between the points: ...

Question 10

An airplane is approaching Los Angeles International Airport at an altitude of 5,280 feet. If the horizontal distance from the plane to the runway is 2.4 miles, use the Pythagorean Theorem to find the diagonal distance from the plane to the runway (see the figure below). (5,280 feet equals 1 mile.)   a = 2.4 miles, b = 5,280 feet __________ miles

Accepted Answer

The answer of An airplane is approaching Los Angeles International...

Question 11

Find the remaining sides of a 45° - 45° - 90° triangle if the longest side is 4.

Accepted Answer

A)    ,    
B)    ,    
C)    ,    
D) ​   ,    
E)    ,    
A)    ,    
B)    ,    
C)    ,    
D) ​   ,    
E)    ,

Question 12

Suppose ABC  is a right triangle with C = 90°. If a = 12 and c = 15, find b .

Accepted Answer

The answer of Suppose ABC  is a right triangle with...

Question 13

Using your calculator and rounding your answers to the nearest hundredth, find tan  θ  if sec θ = -1.64 and

Accepted Answer

A) -1.10 
B) - 1.70 
C) - 1.80 
D) - 1.40 
E) - 1.30 
A) -1.10 
B) - 1.70 
C) - 1.80 
D) - 1.40 
E) - 1.30

Question 14

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.

Accepted Answer

The answer of Write the following in terms of sin ...

Question 15

Use the reciprocal identities for the following problem. If   , find sin  θ .

Accepted Answer

The answer of Use the reciprocal identities for the following...

Question 16

Use a ratio identity to find tan  θ  if    and   . ​

Accepted Answer

A) tan  θ = 5 
B) tan  θ  = 09 
C) tan  θ  = 4 
D) tan  θ  = 08 
E) tan  θ  = 3 
A) tan  θ = 5 
B) tan  θ  = 09 
C) tan  θ  = 4 
D) tan  θ  = 08 
E) tan  θ  = 3

Question 17

Find    if    and θ  terminates in QII. ​

Accepted Answer

A) ​   
B)    
C) ​   
D)    
E)    
A) ​   
B)    
C) ​   
D)    
E)

Question 18

Find  α  if A  = α .   Remember: The sum of the three angles in any triangle is always 180°. α = __________°

Accepted Answer

The answer of Find  α  if A  = α ....

Question 19

Add or subtract as indicated. Then simplify your answer if possible. Leave the answer in terms of sin  θ  and/or cos  θ .   ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 20

Simplify the expression    as much as possible after substituting    for x . ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Use the reciprocal identities for the following problem. If , find sin θ .

For points in quadrant IV, the ratio is always negative because x is always positive and y is always negative. In what other quadrant is the ratio always negative?

Name a point on the terminal side of 240°.

Find the right part of the identity. __________

Find sin θ and tan θ if the terminal side of θ lies along the line in quadrant I.

Simplify the expression as much as possible after substituting for x .

Graph the following circle.

Which of the following angles are coterminal with - 45°?

Find the distance between the points: ,

Find the remaining sides of a 45° - 45° - 90° triangle if the longest side is 4.

Suppose ABC is a right triangle with C = 90°. If a = 12 and c = 15, find b .

Using your calculator and rounding your answers to the nearest hundredth, find tan θ if sec θ = -1.64 and

Write the following in terms of sin θ and cos θ and then simplify if possible.

Use the reciprocal identities for the following problem. If , find sin θ .

Use a ratio identity to find tan θ if and .

Find if and θ terminates in QII.

Find α if A = α . Remember: The sum of the three angles in any triangle is always 180°. α = __________°

Add or subtract as indicated. Then simplify your answer if possible. Leave the answer in terms of sin θ and/or cos θ .

Simplify the expression as much as possible after substituting for x .

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Exam 1: The Six Trigonometric Functions

Use the reciprocal identities for the following problem. If , find sin θ . ​

For points in quadrant IV, the ratio is always negative because x is always positive and y is always negative. In what other quadrant is the ratio always negative?

Name a point on the terminal side of 240°.

Find the right part of the identity. __________ ​

Find sin θ and tan θ if the terminal side of θ lies along the line in quadrant I. ​

Simplify the expression as much as possible after substituting for x . ​

Graph the following circle.

Which of the following angles are coterminal with - 45°?

Find the distance between the points: ,

Find the remaining sides of a 45° - 45° - 90° triangle if the longest side is 4.

Suppose ABC is a right triangle with C = 90°. If a = 12 and c = 15, find b .

Using your calculator and rounding your answers to the nearest hundredth, find tan θ if sec θ = -1.64 and

Write the following in terms of sin θ and cos θ and then simplify if possible.

Use the reciprocal identities for the following problem. If , find sin θ .

Use a ratio identity to find tan θ if and . ​

Find if and θ terminates in QII. ​

Find α if A = α . Remember: The sum of the three angles in any triangle is always 180°. α = __________°

Add or subtract as indicated. Then simplify your answer if possible. Leave the answer in terms of sin θ and/or cos θ . ​

Simplify the expression as much as possible after substituting for x . ​

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Use the reciprocal identities for the following problem. If , find sin θ .

Find the right part of the identity. __________

Find sin θ and tan θ if the terminal side of θ lies along the line in quadrant I.

Simplify the expression as much as possible after substituting for x .

Use a ratio identity to find tan θ if and .

Find if and θ terminates in QII.

Add or subtract as indicated. Then simplify your answer if possible. Leave the answer in terms of sin θ and/or cos θ .

Simplify the expression as much as possible after substituting for x .