Question 1

Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.

Accepted Answer

A) identity 
B) not an identity 
A) identity 
B) not an identity

Question 2

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

Accepted Answer

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

Question 3

Verify the identity shown below.

Accepted Answer

The answer of Verify the identity shown below.  ...

Question 4

If   , use trigonometric substitution to write   as a trigonometric function of   , where   .

Accepted Answer

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

Question 5

Use the product-to-sum formula to write the given product as a sum or difference.

Accepted Answer

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

Question 6

Which of the following is not an identity?

Accepted Answer

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

Question 7

Use the cofunction identities to evaluate the expression below without the aid of a calculator.

Accepted Answer

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

Question 8

Verify the identity shown below.

Accepted Answer

The answer of Verify the identity shown below.  ...

Question 9

If   , evaluate the following function.

Accepted Answer

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

Question 10

Verify the identity shown below.

Accepted Answer

The answer of Verify the identity shown below.  ...

Question 11

Write the given expression as an algebraic expression.

Accepted Answer

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

Question 12

Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.

Accepted Answer

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

Question 13

Solve the multiple-angle equation.

Accepted Answer

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

Question 14

Use the figure below to find the exact value of the given trigonometric expression.

Accepted Answer

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

Question 15

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .

Accepted Answer

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

Question 16

Find all solutions of the following equation in the interval   .

Accepted Answer

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

Question 17

Use the sum-to-product formulas to find the exact value of the given expression.

Accepted Answer

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

Question 18

Verify the given identity.

Accepted Answer

The answer of Verify the given identity.  ...

Question 19

Verify the identity shown below.

Accepted Answer

The answer of Verify the identity shown below.  ...

Question 20

Find the exact solutions of the given equation in the interval   .

Accepted Answer

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

Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

Verify the identity shown below.

If , use trigonometric substitution to write as a trigonometric function of , where .

Use the product-to-sum formula to write the given product as a sum or difference.

Which of the following is not an identity?

Use the cofunction identities to evaluate the expression below without the aid of a calculator.

Verify the identity shown below.

If , evaluate the following function.

Verify the identity shown below.

Write the given expression as an algebraic expression.

Use the Quadratic Formula to solve the given equation on the interval ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.

Solve the multiple-angle equation.

Use the figure below to find the exact value of the given trigonometric expression.

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval .

Find all solutions of the following equation in the interval .

Use the sum-to-product formulas to find the exact value of the given expression.

Verify the given identity.

Verify the identity shown below.

Find the exact solutions of the given equation in the interval .

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Exam 11: Analytic Trigonometry

Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

Verify the identity shown below.

If , use trigonometric substitution to write as a trigonometric function of , where .

Use the product-to-sum formula to write the given product as a sum or difference.

Which of the following is not an identity?

Use the cofunction identities to evaluate the expression below without the aid of a calculator.

Verify the identity shown below.

If , evaluate the following function.

Verify the identity shown below.

Write the given expression as an algebraic expression.

Use the Quadratic Formula to solve the given equation on the interval ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.

Solve the multiple-angle equation.

Use the figure below to find the exact value of the given trigonometric expression.

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval .

Find all solutions of the following equation in the interval .

Use the sum-to-product formulas to find the exact value of the given expression.

Verify the given identity.

Verify the identity shown below.

Find the exact solutions of the given equation in the interval .

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters