Question 1

Find all real numbers that satisfy the equation.
-2 sin

Accepted Answer

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

Question 2

Find the exact value by using a half-angle identity.
-cos 15°

Accepted Answer

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

Question 3

Prove that the equation is an identity.
-

Accepted Answer

The answer of Prove that the equation is an identity.
-...

Question 4

Prove the identity.
-  = sin t cos t - 2   cos t

Accepted Answer

The answer of Prove the identity.
-  = sin t...

Question 5

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-cos (270° - x)

Accepted Answer

A)  - sin x 
B)  cos x 
C)  sin x 
D)  - cos x 
A)  - sin x 
B)  cos x 
C)  sin x 
D)  - cos x

Question 6

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Prove that the equation is an identity.
-2 sin(x + y) cos(x - y) = sin 2x + sin 2y

Accepted Answer

2 sin(x + y) cos(x -

Question 7

Solve the problem. Round to the nearest whole unit.
-The top and base of a window are respectively 14 ft and 3 ft above the level of an observer's eyes. At what distance from the wall must the observer stand in order to make the angle subtended by the window equal to
The angle of elevation of its base?

Accepted Answer

A)  10 ft 
B)  4 ft 
C)  8 ft 
D)  6 ft 
A)  10 ft 
B)  4 ft 
C)  8 ft 
D)  6 ft

Question 8

Find the exact value by using a half-angle identity.
-tan

Accepted Answer

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

Question 9

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 10

Prove that the equation is an identity.
-

Accepted Answer

The answer of Prove that the equation is an identity.
-...

Question 11

Use trigonometric identities to find the exact value.
-

Accepted Answer

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

Question 12

Show that the equation is not an identity by listing the value(s) of the variable from among   for which
the equation is false.
-

Accepted Answer

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

Question 13

Write the expression in terms of sines and/or cosines, and then simplify.
-tan x csc x

Accepted Answer

A)  csc x 
B)  sec x 
C)  1 
D)  cos x 
A)  csc x 
B)  sec x 
C)  1 
D)  cos x

Question 14

Use a sum or difference identity to find the exact value.
-sin 15°

Accepted Answer

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

Question 15

Find all angles in degrees that satisfy the equation.
-tan   = -5.692 Round angles to the nearest hundredth of a degree.

Accepted Answer

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

Question 16

Use identities to simplify the expression.
-

Accepted Answer

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

Question 17

Prove the identity.
-tan 2x =

Accepted Answer

The answer of Prove the identity.
-tan 2x =  ...

Question 18

Use identities to simplify the expression.
-

Accepted Answer

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

Question 19

Use a product-to-sum identity to rewrite the expression.
-

Accepted Answer

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

Question 20

Find all real numbers in the interval   that satisfy the equation.
-2 cos x tan x +   tan x = 0

Accepted Answer

A)    
B)    
C)    
D)  No solution 
A)    
B)    
C)    
D)  No solution

Find all real numbers that satisfy the equation. -2 sin

Find the exact value by using a half-angle identity. -cos 15°

Prove that the equation is an identity. -

Prove the identity. - = sin t cos t - 2 cos t

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos (270° - x)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. -2 sin(x + y) cos(x - y) = sin 2x + sin 2y

Find the exact value by using a half-angle identity. -tan

Prove the identity. -

Prove that the equation is an identity. -

Use trigonometric identities to find the exact value. -

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

Write the expression in terms of sines and/or cosines, and then simplify. -tan x csc x

Use a sum or difference identity to find the exact value. -sin 15°

Find all angles in degrees that satisfy the equation. -tan = -5.692 Round angles to the nearest hundredth of a degree.

Use identities to simplify the expression. -

Prove the identity. -tan 2x =

Use identities to simplify the expression. -

Use a product-to-sum identity to rewrite the expression. -

Find all real numbers in the interval that satisfy the equation. -2 cos x tan x + tan x = 0

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Applications of Trigonometry

Systems of Equations and Inequalities

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Basic Algebra Review

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Exam 6: Trigonometric Identities and Conditional Equations

Find all real numbers that satisfy the equation. -2 sin

Find the exact value by using a half-angle identity. -cos 15°

Prove that the equation is an identity. -

Prove the identity. - = sin t cos t - 2 cos t

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos (270° - x)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. -2 sin(x + y) cos(x - y) = sin 2x + sin 2y

Find the exact value by using a half-angle identity. -tan

Prove the identity. -

Prove that the equation is an identity. -

Use trigonometric identities to find the exact value. -

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

Write the expression in terms of sines and/or cosines, and then simplify. -tan x csc x

Use a sum or difference identity to find the exact value. -sin 15°

Find all angles in degrees that satisfy the equation. -tan = -5.692 Round angles to the nearest hundredth of a degree.

Use identities to simplify the expression. -

Prove the identity. -tan 2x =

Use identities to simplify the expression. -

Use a product-to-sum identity to rewrite the expression. -

Find all real numbers in the interval that satisfy the equation. -2 cos x tan x + tan x = 0

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters