Prove that (sinA+ cosec A)2 + (cosA + seca)2 = 7+ tan’A+ cot2A
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(sinA+ cosec A)² + (cosA + seca)² = 7+ tan’²A+ cot²A
=sin²A+cosec²A+2sincosecA +cos² A+sec²A+2cossecA
=4+sin²A+cos²A+cosec²A+sec²A
=5+(1+cot²A)+(1+tan²A)
=7+tan²A+cot²A
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