Trigonometric Double Angle Identities Answers
The table shows the derivation of an alternate version of cos(2x). Select the correct reason for each step.
Distributive property✔ Pythagorean identityDouble angle identity
Double angle identityPythagorean identity✔ Distributive property
✔ SimplifyingPythagorean identityDouble angle identity
The table shows the derivation of sin(2x). Select the correct reason for each step.
The table shows the derivation of sin(2x). Select the correct reason for each step.
Step 1: .
What is the value of 1 – 2sin2 (165o)?
If and tan(x) > 0, what is sin(2x)?
What are the correct justifications, listed in proper order?
Over the interval [0, 2π), what are the solutions to sin(2x) = 2cos(x)? Check all that apply.
Definition of SineAdditionSimplify✔ Sine Sum Identity
Step 2: .
✔ SimplifyX AdditionSine Sum IdentityDefinition of Sine
Step 3: .
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