SOLUTION: Use identities to find the indicated value for each angle measure. sin θ = 7/25 , cos θ > 0 Find cos(2θ).

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Question 1043291: Use identities to find the indicated value for each angle measure.
sin θ = 7/25 , cos θ > 0
Find cos(2θ).

Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
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Use identities to find the indicated value for each angle measure.
sin θ = 7/25 , cos θ > 0
Find cos(2θ).
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First, notice that both sine and cosine are positive, so theta is in the QI.


Next,  cos%282theta%29 = 1+-+2sin%5E2%28theta%29 = 1+-+2%287%2F25%29%5E2 = 1+-+2%2A%2849%2F625%29 = %28625-2%2A49%29%2F625 = 527%2F625.

Answer.  cos%282theta%29 = 527%2F625.

Again, notice that  cos%282theta%29  is positive, hence, the angle 2theta also lies in QI.