Question

cosec A + cot A = sinA / 1-cos A

Answer 1

as cosec a=1/sin a

and cot a=cos a / sin a

so , L.H.S. = cosec a - cot a = 1 /sin a - cos a/ sin a

= (1-cos a) / sin a =(1- cos a)(1 + cos a) / sin a * (1 + cos a )

=1 - cos^2 (a) / sin a *(1+ cos a) =

sin ^2(a)/sin a * (1 + cos a)= sin a /(1 + cos a)= R.H.S.

Answer 2

HOLA

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$cosec \: = \: \frac{1}{sin } = \: 1 \\ \\ cot \: = \: \frac{1}{tan} = \: tan \\ \\ tan \: = \: \frac{sin}{cos} \\ \\ adding \: the \: result \: we \: have \\ \\ \frac{sin}{1 \: - \: cos}$
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