Question

sin theta/1-cos theta = cosec theta + cot theta​

Answer 1

Answer:

LHS,

sin theta/1-cos theta

=sin(1+cos theta)/(1-cos theta)(1+cos theta)

=sin(1+cos theta)/1-cos^2theta

=sin(1+cos theta)/sin^2theta

[sin^2 theta+cos^2 theta=1

cos^2 theta-1=sin^2 theta]

=(1-cos theta)/sin theta

=cosec theta+cot theta

=RHS.

Hence proved.