Math, asked by y38h5nyh, 8 months ago

Please solve this (correctly) for brainy Prove:(1+sinA-cosA)/(1+sinA+cosA)+(1+sinA+cosA)/(1+sinA-cosA)=2cscA

Answers

Answered by dshkkooner1122

2

LHS =cosA/(1+sinA) +(1+sinA)/cosA

={cos²A +(1+sinA)²}/cosA.(1+sinA)

={cos²A+1+sin²A+2sinA}/cosA.(1+sinA)

use sin²∅ +cos²∅ =1

=(1+1+2sinA)/cosA(1+sinA)

=2(1+sinA)/cosA(1+sinA)

=2/cosA

=2secA = RHS

;)

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