Math, asked by vvrushtim, 7 months ago

Prove that 1 + tan theta ×tan theta by 2= sec theta.

Answers

Answered by indujajeevanaschool

3

Answer:

1+tan2θtanθ=1+(1−tan2θ)(2tanθtanθ)=(1−tan2θ)1−tan2θ+(2tan2θ)=1−tan2θ1+tan2θ=1−cos2θsin2θ1+cos2θsin2θ=cos2θcos2θ−sin2θcos2θcos2θ+sin2θ=cos2θ1=sec2θ

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