Math, asked by teja47, 1 year ago

prove that cosa/1-sina+cosa/1+sina=2seca

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Answered by siddhartharao77
12
Given Equation is  \frac{cos theta}{1 - sin theta} +  \frac{costheta}{1 + sin theta}

On cross-multiplication, we get

 \frac{cos theta(1 + sin theta) + cos theta(1 - sin theta)}{(1 - sin theta)(1 + sin theta)}

 \frac{costheta + cos theta * sin theta + cos theta - cos theta * sin theta}{1 - sin^2 theta}

 \frac{2 cos theta}{cos^2 theta}

 \frac{2}{cos theta}

2( \frac{1}{cos theta} )

We know that 1/cos theta = sec theta

2 sec theta.


Hope this helps!

teja47: how 2/costhetha=2secthetha
siddhartharao77: Wait. I will edit.
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