Question 1

Use identities to simplify the expression.
-

Accepted Answer

A)  sec x 
B)  0 
C)  1 
D)  tan x 
A)  sec x 
B)  0 
C)  1 
D)  tan x

Question 2

Use identities to simplify the expression.
-

Accepted Answer

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

Question 3

Solve the problem.
-The weekly sales in thousands of items of a product has a seasonal sales record approximated by n = 72.04 + 18.9 sin   (t = time in weeks with t=1 referring to the first week in the year). During which week(s) will the sales equal
81,490 items?

Accepted Answer

A)  week 4, week 20, and week 52 
B)  week 30 and week 47 
C)  week 21 and week 30 
D)  week 4 and week 47 
A)  week 4, week 20, and week 52 
B)  week 30 and week 47 
C)  week 21 and week 30 
D)  week 4 and week 47

Question 4

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

Accepted Answer

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

Question 5

Use a sum or difference identity to find the exact value.
-sin

Accepted Answer

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

Question 6

Multiply and simplify.
-(1 - sec   )(1 + sec

Accepted Answer

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

Question 7

Find the product.
-(2 sin y - 3)(sin y + 4)

Accepted Answer

A)    + 4 sin y - 12 
B)    + 5 sin y - 12 
C)    - 12 
D)    + 5 sin y - 12 
A)    + 4 sin y - 12 
B)    + 5 sin y - 12 
C)    - 12 
D)    + 5 sin y - 12

Question 8

Use odd and even identities to simplify the expression.
-(1 + csc x)(1 + csc(-x))

Accepted Answer

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

Question 9

Prove that the equation is an identity.
-

Accepted Answer

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

Question 10

Prove the identity.
-

Accepted Answer

Using the

Question 11

Find all angles in degrees that satisfy the equation.
-tan   = 0.8116 Round angles to the nearest hundredth of a degree.

Accepted Answer

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

Question 12

Write in terms of the cofunction of a complementary angle.
-cos

Accepted Answer

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

Question 13

Use identities to simplify the expression.
-

Accepted Answer

A)  sec x 
B)  tan x 
C)  cot x 
D)  csc x 
A)  sec x 
B)  tan x 
C)  cot x 
D)  csc x

Question 14

Write the expression in terms of sines and/or cosines, and then simplify.
-

Accepted Answer

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

Question 15

Prove the identity.
-

Accepted Answer

Using the

Question 16

Write in terms of the cofunction of a complementary angle.
-

Accepted Answer

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

Question 17

Use a product-to-sum identity to rewrite the expression.
-sin(   cos

Accepted Answer

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

Question 18

Solve the problem.
-Snell's Law states that   where   are the speeds at which light travels through two different mediums, and   are the angles of incidence and refraction respectively. Find the angle of refraction if   and the angle of
Incidence is 30°. Give your answer in degrees to the nearest hundredth.

Accepted Answer

A)  53.13° 
B)  8.99° 
C)  18.21° 
D)  5.98° 
A)  53.13° 
B)  8.99° 
C)  18.21° 
D)  5.98°

Question 19

Use trigonometric identities to find the exact value.
-

Accepted Answer

A)  -2 
B)    
C)    
D)    
A)  -2 
B)    
C)    
D)

Question 20

Use identities to find the exact value of the trigonometric function.
-Find cot   if tan   and   is in quadrant III.

Accepted Answer

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

Use identities to simplify the expression. -

Use identities to simplify the expression. -

Solve the problem. -The weekly sales in thousands of items of a product has a seasonal sales record approximated by n = 72.04 + 18.9 sin (t = time in weeks with t=1 referring to the first week in the year). During which week(s) will the sales equal 81,490 items?

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

Use a sum or difference identity to find the exact value. -sin

Multiply and simplify. -(1 - sec )(1 + sec

Find the product. -(2 sin y - 3)(sin y + 4)

Use odd and even identities to simplify the expression. -(1 + csc x)(1 + csc(-x))

Prove that the equation is an identity. -

Prove the identity. -

Find all angles in degrees that satisfy the equation. -tan = 0.8116 Round angles to the nearest hundredth of a degree.

Write in terms of the cofunction of a complementary angle. -cos

Use identities to simplify the expression. -

Write the expression in terms of sines and/or cosines, and then simplify. -

Prove the identity. -

Write in terms of the cofunction of a complementary angle. -

Use a product-to-sum identity to rewrite the expression. -sin( cos

Use trigonometric identities to find the exact value. -

Use identities to find the exact value of the trigonometric function. -Find cot if tan and is in quadrant III.

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

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Exam 6: Trigonometric Identities and Conditional Equations

Use identities to simplify the expression. -

Use identities to simplify the expression. -

Solve the problem. -The weekly sales in thousands of items of a product has a seasonal sales record approximated by n = 72.04 + 18.9 sin (t = time in weeks with t=1 referring to the first week in the year). During which week(s) will the sales equal 81,490 items?

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

Use a sum or difference identity to find the exact value. -sin

Multiply and simplify. -(1 - sec )(1 + sec

Find the product. -(2 sin y - 3)(sin y + 4)

Use odd and even identities to simplify the expression. -(1 + csc x)(1 + csc(-x))

Prove that the equation is an identity. -

Prove the identity. -

Find all angles in degrees that satisfy the equation. -tan = 0.8116 Round angles to the nearest hundredth of a degree.

Write in terms of the cofunction of a complementary angle. -cos

Use identities to simplify the expression. -

Write the expression in terms of sines and/or cosines, and then simplify. -

Prove the identity. -

Write in terms of the cofunction of a complementary angle. -

Use a product-to-sum identity to rewrite the expression. -sin( cos

Use trigonometric identities to find the exact value. -

Use identities to find the exact value of the trigonometric function. -Find cot if tan and is in quadrant III.

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