Question 1

Multiply and simplify.
-

Accepted Answer

A)  1 
B)    
C)  1 - 2 sin x cos x 
D)    
A)  1 
B)    
C)  1 - 2 sin x cos x 
D)

Question 2

Find the exact value using a double-angle identity.
-cos(450°)

Accepted Answer

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

Question 3

Prove that the equation is an identity.
-

Accepted Answer

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

Question 4

Determine whether the positive or negative sign makes the equation correct.
-tan

Accepted Answer

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

Question 5

Choose the expression with exactly the same value as the given expression.
-

Accepted Answer

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

Question 6

Factor the trigonometric expression.
-

Accepted Answer

A)  (5 cos x + 9)(cos x - 5) 
B)    
C)  (9 cos x + 5)(cos x - 5) 
D)  (9 cos x - 5)(cos x + 5) 
A)  (5 cos x + 9)(cos x - 5) 
B)    
C)  (9 cos x + 5)(cos x - 5) 
D)  (9 cos x - 5)(cos x + 5)

Question 7

Choose the expression which is equivalent to the given expression.
-

Accepted Answer

A)    
B)  cot 28° 
C)    
D)  tan 28° 
A)    
B)  cot 28° 
C)    
D)  tan 28°

Question 8

Choose the equivalent expression for the given expression.
-sin(-x)

Accepted Answer

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

Question 9

Find the exact value using a double-angle identity.
-sin(180°)

Accepted Answer

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

Question 10

Find the exact value using a double-angle identity.
-tan(300°)

Accepted Answer

A)  0 
B)    
C)    
D)    
A)  0 
B)    
C)    
D)

Question 11

Find all real numbers that satisfy the equation.
-sin 4x =

Accepted Answer

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

Question 12

Use identities to simplify the expression.
-

Accepted Answer

A)  sin w cos w 
B)    
C)  1 
D)  sin w 
A)  sin w cos w 
B)    
C)  1 
D)  sin w

Question 13

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 14

Find the exact value of the product.
-sin 45° sin 15°

Accepted Answer

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

Question 15

Use an appropriate identity to find the exact value of the expression.
-cos (165°)

Accepted Answer

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

Question 16

Use a half-angle identity to find an exact value for the following, given the information about x.
-Find cos x given that cos   .

Accepted Answer

A)    
B)    
C)  cos x = 3 
D)    
A)    
B)    
C)  cos x = 3 
D)

Question 17

Multiply and simplify.
-

Accepted Answer

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

Question 18

Simplify the expression.
-

Accepted Answer

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

Question 19

Identify the equation as either an identity or not.
--2 cos 10x cos 4x = cos 7x cos 3x

Accepted Answer

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

Question 20

Prove the identity.
-sin(x + y) cos(x - y) = sin x cos x + cos y sin y

Accepted Answer

Using the sum and difference i

Multiply and simplify. -

Find the exact value using a double-angle identity. -cos(450°)

Prove that the equation is an identity. -

Determine whether the positive or negative sign makes the equation correct. -tan

Choose the expression with exactly the same value as the given expression. -

Factor the trigonometric expression. -

Choose the expression which is equivalent to the given expression. -

Choose the equivalent expression for the given expression. -sin(-x)

Find the exact value using a double-angle identity. -sin(180°)

Find the exact value using a double-angle identity. -tan(300°)

Find all real numbers that satisfy the equation. -sin 4x =

Use identities to simplify the expression. -

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

Find the exact value of the product. -sin 45° sin 15°

Use an appropriate identity to find the exact value of the expression. -cos (165°)

Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos x given that cos .

Multiply and simplify. -

Simplify the expression. -

Identify the equation as either an identity or not. --2 cos 10x cos 4x = cos 7x cos 3x

Prove the identity. -sin(x + y) cos(x - y) = sin x cos x + cos y sin y

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

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Exam 6: Trigonometric Identities and Conditional Equations

Multiply and simplify. -

Find the exact value using a double-angle identity. -cos(450°)

Prove that the equation is an identity. -

Determine whether the positive or negative sign makes the equation correct. -tan

Choose the expression with exactly the same value as the given expression. -

Factor the trigonometric expression. -

Choose the expression which is equivalent to the given expression. -

Choose the equivalent expression for the given expression. -sin(-x)

Find the exact value using a double-angle identity. -sin(180°)

Find the exact value using a double-angle identity. -tan(300°)

Find all real numbers that satisfy the equation. -sin 4x =

Use identities to simplify the expression. -

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

Find the exact value of the product. -sin 45° sin 15°

Use an appropriate identity to find the exact value of the expression. -cos (165°)

Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos x given that cos .

Multiply and simplify. -

Simplify the expression. -

Identify the equation as either an identity or not. --2 cos 10x cos 4x = cos 7x cos 3x

Prove the identity. -sin(x + y) cos(x - y) = sin x cos x + cos y sin y

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