# trig

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evaluate the expression under the given conditions

tan 2 theta; cos theta=7/25, theta in quadrant I

• trig -

If cosθ = 7/25 in QI, then sinθ = 24/25
That means tanθ = 24/7, and you (ahem) know that

tan2θ = 2tanθ/(1-tan^2 θ)

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