AnswersPrecalculusTrigonometric Sum Identities

Trigonometric Double Angle Identities Answers

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SimplifyAdditionCosine Difference Identity✔ Cosine Sum Identity

A
Simplify
B
Addition
C
Cosine Difference Identity
D
✔ Cosine Sum Identity
3

Cosine Sum IdentityAddition✔ SimplifyCosine Difference Identity

A
Cosine Sum Identity
B
Addition
C
✔ Simplify
D
Cosine Difference Identity
6

What is the value of 2cos2(105⁰) − 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

What are the correct justifications, listed in proper order?

A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
B
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
C
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
D
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
10

The table shows the derivation of tan(2x). Select the correct reason for each step.

Answers:
Reason 1 is .:Addition
Reason 2 is .:Tangent Sum Identity
Reason 3 is .:Simplify
11

The table shows the derivation of cos(2x). Select the correct reason for each step.

Answers:
Reason 1 is .:Addition
Reason 2 is .:Cosine Sum Identity
Reason 3 is .:Simplify
12

The table shows the derivation of tan(2x). Select the correct reason for each step.

Answers:
Reason 1 is .:Addition
Reason 2 is .:Tangent Sum Identity
Reason 3 is .:Simplify
14

Double Angle Identity✔ Tangent Sum IdentityQuotient Identity for Tangent

A
Double Angle Identity
B
✔ Tangent Sum Identity
C
Quotient Identity for Tangent
15

Quotient Identity for TangentTangent Sum Identity✔ Simplify

A
Quotient Identity for Tangent
B
Tangent Sum Identity
C
✔ Simplify

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