Trigonometric Double Angle Identities

Question 1

If cos(x) = and tan(x) < 0, what is sin(2x) ?

Revolt · Accepted Answer

B:

Question 2

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

Revolt · Accepted Answer

A: 0; B: ; D: ; F:

Question 3

Write the given expression as a single trigonometric function.

Revolt · Accepted Answer

C:

Question 4

What is the value of 2cos2(105⁰) − 1?

Revolt · Accepted Answer

A:

Question 5

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

Revolt · Accepted Answer

A:

Question 6

What are the correct justifications, listed in proper order?

Revolt · Accepted Answer

A: Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity

Question 7

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

Revolt · Accepted Answer

A: 0; C: ; E:

Question 8

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

Revolt · Accepted Answer

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

Question 9

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

Revolt · Accepted Answer

A: ✔ Addition

Question 10

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

Revolt · Accepted Answer

A: ✔ Addition

Trigonometric Double Angle Identities Answers