Math, asked by gurshaanbrar100, 9 months ago

(tanA + cot A)2 = cosec2A + sec2A

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Answered by suhrutha21
3

hey mate here is your answer

given

(tanA + cot A)² = cosec²A + sec²A

consider LHS( Left Hand Side)

(tanA + cot A)²= tan²A+ cot²A+ 2tanAcotA

= tan²A+ cot²A+ 2

= (sec²A-1)+(cosec²A-1)+2

= cosec²A+sec²A-2+2

= cosec²A+sec²A

= RHS

hope it may help you

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