Trigonometric Double Angle Identities Answers

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

Option

What are the correct justifications, listed in proper order?

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

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

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

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

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

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

Negative StartFraction 3 StartRoot 7 EndRoot Over 8 EndFraction

Negative StartFraction 1 Over 8 EndFraction

StartFraction 1 Over 8 EndFraction

StartFraction 3 StartRoot 7 EndRoot Over 8 EndFraction

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