Trigonometric Double Angle Identities

Question 1

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

Revolt · Accepted Answer

C: ✔ Double angle identity

Question 2

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

Revolt · Accepted Answer

Reason 1 is .: Addition; Reason 2 is .: Sine Sum Identity; Reason 3 is .: Simplify

Question 3

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

Revolt · Accepted Answer

B: ✔ Addition

Question 4

Step 1: .

Revolt · Accepted Answer

A: Addition

Question 5

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

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D:

Question 6

If and tan(x) > 0, what is sin(2x)?

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B:

Question 7

What are the correct justifications, listed in proper order?

Revolt · Accepted Answer

D: Double Angle Identity, Distributive Property, Pythagorean Identity

Question 8

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

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B: ; E:

Question 9

Distributive property✔ Pythagorean identityDouble angle identity

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B: ✔ Pythagorean identity

Question 10

Definition of SineAdditionSimplify✔ Sine Sum Identity

Revolt · Accepted Answer

D: ✔ Sine Sum Identity

Trigonometric Double Angle Identities Answers