यहाँ `L.H.S. (1)/(cosec theta-cot theta)=(1xx(cosec theta+cot theta))/((cosec theta-cot theta)(cosec theta+cot theta))`
`=(cosectheta+cot theta)/(cosec ^(2)theta-cot^(2)theta)=(cosec theta+cot theta)/(1)`
`=(1)/(sin theta)+(cos theta)/(sin theta)=(1+costheta)/(sin theta)=R.H.S.`