Prove:- (sinA+cosecA) square + (cosA+sec) square …

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Prove:- (sinA+cosecA) square + (cosA+sec) square = 7+tan square A + cot square A

Posted by Gautam Nirmaan Gautam Nirmaan 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Sneha Singh?????? 5 years, 1 month ago

L.H.S =(sin²A + cosec²A + 2sinAcosecA) + (cos²A + sec²A + 2cosAsecA) = Sin²A + cos²A + 2sinAcosecA + 2cosAsecA + cosec²A + sec²A = 1 + 2 × 1 + 2×1 + cosec²A + sec²A = 5 + ( 1+ cot²A ) + ( 1+ tan²A) = 7 + tan²A + cot²A

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