Question

simplify: sin theta/ 1+cos theta.

plz solve this...

Answer 1

sin A/1+cos A
=sin A(1-cos A)/(1+cos A)(1-cos A)
=sin A(1-cos A)/1-cos²A
=sin A(1-cos A)/sin²A
=1-cos A/sin A
=1/sin A-cos A/sin A
=cosec A-cot A

I have taken A in place of theta...

Answer 2

✧Solution:

$= > \frac{sinx }{1 + cosx } \times \frac{1 - cosx}{1 - cosx} \\ \\ = > \frac{sinx - sinx.cosx}{1 - {cos}^{2}x } = > sinx{} ( \frac{1 - cosx}{ {sin}^{2}x } ) \\ \\ = > \frac{1 - cosx}{sinx}$

=>cosecx -cotx

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hope it helps ^_^