Question

Prove that :

Hope you guys will help me.

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Answer 1

{(1+cosA)²+(1-cosA)²}/sin²A

=> {1+cos²A+2cosA+1+cos²A-2cosA}/sin²A

=>. {2(1+cos²A)}/sin²A

=>2(1/sin²A +cos²A/sin²A)

=> 2(cosec²A+cot²A)

2(1+cot²A+cot²A).

{cosec²A=1+cot²A}

2(1+2cot²A)