How do you prove $(2tantheta)/(1+tan^2theta)=sin2theta$ ?

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Answer 1 · 2016-09-18T05:26:32

Please see below.

$(2tantheta)/(1+tan^2theta)$

= $(2sintheta/costheta)/sec^2theta$

= $2sintheta/costhetaxx1/sec^2theta$

= $2sintheta/costhetaxxcos^2theta$

= $2sinthetacostheta$

= $sin2theta$

How do you prove (2tantheta)/(1+tan^2theta)=sin2theta(2tantheta)/(1+tan^2theta)=sin2theta?