Derive an identity for cos(2theta), done fast in 56 seconds
cos^2(theta)(1 + tan^2(theta)), simplify the trigonometric expression
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`(1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta`
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`(sintheta +sin2theta)/(1+costheta+cos2theta)=tantheta`
