Question 1

Write the given expression as the cosine of an angle.

Accepted Answer

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E)    B

Question 2

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

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E)    B

Question 3

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

Accepted Answer

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D)    C

Question 4

Verify the identity shown below.

Accepted Answer

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

Question 5

The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)

Accepted Answer

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E)

Question 6

Solve the following equation.

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Question 7

Write the given expression as the sine of an angle.

Accepted Answer

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E)

Question 8

Find all solutions of the given equation in the interval   .

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Question 9

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 10

Simplify the given expression algebraically.

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Question 11

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

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Question 12

Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.

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Question 13

Rewrite   as a single logarithm and then simplify the result.

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Question 14

Verify the identity shown below.

Accepted Answer

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

Question 15

The rate of change of the function   is given by the expression   .Which of the following is its simplification?

Accepted Answer

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B)    
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E)

Question 16

Use the figure below to find the exact value of the given trigonometric expression.     68(figure not necessarily to scale)

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Question 17

Verify the given identity.

Accepted Answer

The answer of Verify the given identity.  ...

Question 18

Use a double-angle formula to find the exact value of   when   .

Accepted Answer

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Question 19

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

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Question 20

Use the sum-to-product formulas to write the given expression as a product.

Accepted Answer

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E)

Write the given expression as the cosine of an angle.

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

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

Verify the identity shown below.

Solve the following equation.

Write the given expression as the sine of an angle.

Find all solutions of the given equation in the interval .

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

Simplify the given expression algebraically.

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

Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.

Rewrite as a single logarithm and then simplify the result.

Verify the identity shown below.

The rate of change of the function is given by the expression ^.Which of the following is its simplification?

Use the figure below to find the exact value of the given trigonometric expression. 68(figure not necessarily to scale)

Verify the given identity.

Use a double-angle formula to find the exact value of when .

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

Use the sum-to-product formulas to write the given expression as a product.

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

Write the given expression as the cosine of an angle.

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

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

Verify the identity shown below.

Solve the following equation.

Write the given expression as the sine of an angle.

Find all solutions of the given equation in the interval .

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

Simplify the given expression algebraically.

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

Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.

Rewrite as a single logarithm and then simplify the result.

Verify the identity shown below.

The rate of change of the function is given by the expression .Which of the following is its simplification?

Use the figure below to find the exact value of the given trigonometric expression. 68(figure not necessarily to scale)

Verify the given identity.

Use a double-angle formula to find the exact value of when .

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

Use the sum-to-product formulas to write the given expression as a product.

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

The rate of change of the function is given by the expression ^.Which of the following is its simplification?