Math, asked by Tanmay0312, 10 months ago

prove that cosA/1+tanA-sinA/1+cotA=cosA-sinA

Answers

Answered by sandy1816

1

Step-by-step explanation:

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

=cos²A/cosA+sinA-sin²A/sinA+cosA

=cos²A-sin²A/sinA+cosA

=(cosA-sinA)(cosA+sinA)/sinA+cosA

=cosA-sinA

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