Question 1

Prove the identity.
-c

Accepted Answer

The answer of Prove the identity.
-c  ...

Question 2

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-sin

Accepted Answer

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

Question 3

Rewrite the expression in the form A sin(x + C).
--4 sin x - 4 cos x

Accepted Answer

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

Question 4

Use a half-angle identity to find an exact value for the following, given the information about x.
-Find tan   , given that sin x = -   and x terminates in 180° < x < 270°.

Accepted Answer

A)    
B)    
C)  - 7 
D)    
A)    
B)    
C)  - 7 
D)

Question 5

Find the exact value of the expression using the provided information.
-Find cos(A + B)   , with A in quadrant III, and cos   with B in quadrant III.

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Find all angles in degrees that satisfy the equation.
-cos   = 0.486 Round angles to the nearest tenth of a degree.

Accepted Answer

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

Question 8

Factor and, if possible, simplify the expression.
-

Accepted Answer

A)    
B)    
C)  1 
D)    
A)    
B)    
C)  1 
D)

Question 9

Use an identity to write the expression as a single trigonometric function or as a single number.
-

Accepted Answer

A)  cos 30° 
B)  tan 30° 
C)  cot 30° 
D)  sin 30° 
A)  cos 30° 
B)  tan 30° 
C)  cot 30° 
D)  sin 30°

Question 10

Simplify the expression by using a sum or difference identity.
-cos (265°) cos (25°) + sin (265°) sin (25°)

Accepted Answer

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

Question 11

Multiply and simplify.
-

Accepted Answer

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

Question 12

Find all real numbers that satisfy the equation.
-cos

Accepted Answer

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

Question 13

Prove that the equation is an identity.
-

Accepted Answer

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

Question 14

Choose the equivalent expression for the given expression.
-

Accepted Answer

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

Question 15

Simplify the expression.
-

Accepted Answer

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

Question 16

Find all angles in [0°, 360°) that satisfy the equation.
-sec

Accepted Answer

A)  {45°, 225°} 
B)  {225°, 315°} 
C)  {45°, 315°} 
D)  {135°, 225°} 
A)  {45°, 225°} 
B)  {225°, 315°} 
C)  {45°, 315°} 
D)  {135°, 225°}

Question 17

Prove that the equation is an identity.
-cos (x + y) cos (x - y) =

Accepted Answer

cos (x + y) cos (x -

Question 18

Decide whether the expression is or is not an identity.
-

Accepted Answer

A)  Identity 
B)  Not an identity 
A)  Identity 
B)  Not an identity

Question 19

Find all real numbers that satisfy the equation.
-cos

Accepted Answer

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

Question 20

Use a sum or difference identity to find the exact value.
-sin (255°)

Accepted Answer

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

Prove the identity. -c

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -sin

Rewrite the expression in the form A sin(x + C). --4 sin x - 4 cos x

Use a half-angle identity to find an exact value for the following, given the information about x. -Find tan , given that sin x = - and x terminates in 180° < x < 270°.

Find the exact value of the expression using the provided information. -Find cos(A + B) , with A in quadrant III, and cos with B in quadrant III.

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

Find all angles in degrees that satisfy the equation. -cos = 0.486 Round angles to the nearest tenth of a degree.

Factor and, if possible, simplify the expression. -

Use an identity to write the expression as a single trigonometric function or as a single number. -

Simplify the expression by using a sum or difference identity. -cos (265°) cos (25°) + sin (265°) sin (25°)

Multiply and simplify. -

Find all real numbers that satisfy the equation. -cos

Prove that the equation is an identity. -

Choose the equivalent expression for the given expression. -

Simplify the expression. -

Find all angles in [0°, 360°) that satisfy the equation. -sec

Prove that the equation is an identity. -cos (x + y) cos (x - y) =

Decide whether the expression is or is not an identity. -

Find all real numbers that satisfy the equation. -cos

Use a sum or difference identity to find the exact value. -sin (255°)

Equations, Inequalities, and Modeling

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Exam 6: Trigonometric Identities and Conditional Equations

Prove the identity. -c

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -sin

Rewrite the expression in the form A sin(x + C). --4 sin x - 4 cos x

Use a half-angle identity to find an exact value for the following, given the information about x. -Find tan , given that sin x = - and x terminates in 180° < x < 270°.

Find the exact value of the expression using the provided information. -Find cos(A + B) , with A in quadrant III, and cos with B in quadrant III.

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

Find all angles in degrees that satisfy the equation. -cos = 0.486 Round angles to the nearest tenth of a degree.

Factor and, if possible, simplify the expression. -

Use an identity to write the expression as a single trigonometric function or as a single number. -

Simplify the expression by using a sum or difference identity. -cos (265°) cos (25°) + sin (265°) sin (25°)

Multiply and simplify. -

Find all real numbers that satisfy the equation. -cos

Prove that the equation is an identity. -

Choose the equivalent expression for the given expression. -

Simplify the expression. -

Find all angles in [0°, 360°) that satisfy the equation. -sec

Prove that the equation is an identity. -cos (x + y) cos (x - y) =

Decide whether the expression is or is not an identity. -

Find all real numbers that satisfy the equation. -cos

Use a sum or difference identity to find the exact value. -sin (255°)

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