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LHS

*=(1/sin teta -sin teta) (1/cos teta - cos teta)*

*=(1-sin²teta/sin teta) (1-cos²teta/cos teta)*

*=(cos²teta/sinteta)(sin²teta/cos teta)*

*after cancellation remaining term is*

*=cos teta × sin teta -------------- 1*

*RHS*

*=1/tan teta +cot teta*

*=1/ [sin teta/ cos teta] + [cos teta/sin teta]*

*=1/ [sin²teta +cos²teta/sin teta×cos teta]*

*=1/ [1/sin teta × cos teta]*

*=1 × sin teta ×cos teta/1*

*=sin teta × cos teta -------------- 2*

*from 1 and 2 for both LHS and RHS the result came is same*

*so LHS = RHS*

*i.e, (cosec teta - sin teta) (sec teta - cos teta)*

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.