Math, asked by rasika1510, 10 months ago

(1 + sinA / 1+ cosA ) + (1- sinA /1-cosA) = 2( cosec sq A - cot A)

Answers

Answered by sandy1816

0

Step-by-step explanation:

(1+sinA)(1-cosA)+(1-sinA)(1+cosA)/ 1-cos²A

=1-cosA+sinA-sinAcosA+1+cosA-sinA -sinAcosA/1-cos²A

=2-2sinAcosA/sin²A

=2/sin²A-2sinAcosA/sin²A

=2cosec²A-2cosA/sinA

=2(cosec²A-cotA)

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