AnswersPrecalculusTrigonometric Difference Identities

Trigonometric Difference Identities Answers

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1
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Reason 1 is .

A
Pythagorean identity
B
Distributive property
C
Double angle identity
2
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Reason 2 is .

A
Distributive property
B
Pythagorean identity
C
Double angle identity
3

Reason 3 is .

A
Double angle identity
B
Pythagorean identity
C
Distributive property
4

Reason 4 is .

A
Simplifying
B
Pythagorean identity
C
Double angle identity
5

Reason 1 is .

A
Sine Sum Identity
B
Addition
C
Definition of Sine
D
Simplify
6

Step 1: .

A
Addition
B
Quotient Identity for Tangent
C
Double Angle Identity
7

What is the value of 1 – 2sin2 (165o)?

A
Option
B
Option
C
Option
D
Option
8

Over the interval [0, 2π), what are the solutions to sin(2x) = 2cos(x)? Check all that apply.

Question illustration
A
Option
B
Option
C
Option
D
Option
E
Option
F
Option
9

Reason 2 is .

A
Definition of Sine
B
Addition
C
Simplify
D
Sine Sum Identity
10

Step 2: .

A
Double Angle Identity
B
Quotient Identity for Tangent
C
Tangent Sum Identity
11

Reason 3 is .

A
Simplify
B
Addition
C
Sine Sum Identity
D
Definition of Sine
12

Step 3: .

A
Quotient Identity for Tangent
B
Simplify
C
Tangent Sum Identity

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