Math, asked by darshan10thA, 11 months ago

prove
(sinA+cosecA)^2 + (cosA+secA)^2 = 7+tan^2A+cot^2A

Answers

Answered by sandy1816

3

Step-by-step explanation:

(sinA+cosecA)²+(cosA+secA)²

=sin²A+2sinAcosecA+cosec²A+cos²A +2cosAsecA+sec²A

=1+2+cosec²A+2+sec²A

=5+(1+cot²A)+(1+tan²A)

=7+tan²A+cot²A

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