Question 1

Find the exact value of the given expression.

Accepted Answer

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

Question 2

Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)

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

Find all solutions of the given equation in the interval   .

Accepted Answer

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

Question 5

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 6

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 7

Verify the identity shown below.

Accepted Answer

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

Question 8

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 9

If   , evaluate the function below.

Accepted Answer

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

Question 10

Use the figure below to determine the exact value of the given function.

Accepted Answer

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

Question 11

Use a double angle formula to rewrite the given expression.

Accepted Answer

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

Question 12

Find all solutions of the given equation in the interval   .

Accepted Answer

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

Question 13

Find the exact value of the given expression.

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

Accepted Answer

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

Question 17

Solve the following equation.

Accepted Answer

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

Question 18

Find the exact value of the given expression using a sum or difference formula.

Accepted Answer

A) 1 
B) -1 
C)    
D)    
E) undefined 
A) 1 
B) -1 
C)    
D)    
E) undefined

Question 19

Find all solutions of the following equation in the interval   .

Accepted Answer

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

Question 20

Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.

Accepted Answer

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

Find the exact value of the given expression.

Find the exact value of given that and . (Both u and v are in Quadrant II.)

Verify the identity shown below.

Find all solutions of the given equation in the interval .

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

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

Verify the identity shown below.

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

If , evaluate the function below.

Use the figure below to determine the exact value of the given function.

Use a double angle formula to rewrite the given expression.

Find all solutions of the given equation in the interval .

Find the exact value of the given expression.

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

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

Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

Solve the following equation.

Find the exact value of the given expression using a sum or difference formula.

Find all solutions of the following equation in the interval .

Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.

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

Find the exact value of the given expression.

Find the exact value of given that and . (Both u and v are in Quadrant II.)

Verify the identity shown below.

Find all solutions of the given equation in the interval .

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

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

Verify the identity shown below.

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

If , evaluate the function below.

Use the figure below to determine the exact value of the given function.

Use a double angle formula to rewrite the given expression.

Find all solutions of the given equation in the interval .

Find the exact value of the given expression.

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

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

Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

Solve the following equation.

Find the exact value of the given expression using a sum or difference formula.

Find all solutions of the following equation in the interval .

Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.

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