Question 1

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

Accepted Answer

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

Question 2

Find the exact value of the given expression.

Accepted Answer

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

Question 3

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 4

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 5

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

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

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 9

Solve the multiple-angle equation.

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Find the exact value of the given expression.

Accepted Answer

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

Question 12

Find the exact value of the given expression.

Accepted Answer

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

Question 13

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 14

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 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

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 18

Find all solutions of the given equation in the interval   .

Accepted Answer

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

Question 19

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 20

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)

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

Find the exact value of the given expression.

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

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

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

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

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

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

Solve the multiple-angle equation.

Find the exact value of the given expression.

Find the exact value of the given expression.

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

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

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

Find all solutions of the given equation in the interval .

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

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

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters

Exam 6: Analytic Trigonometry

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

Find the exact value of the given expression.

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

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

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

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

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

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

Solve the multiple-angle equation.

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

Find the exact value of the given expression.

Find the exact value of the given expression.

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

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 θ\thetaθ , where .

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

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

Find all solutions of the given equation in the interval .

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

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

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters