Question

prove that- cos∅/1-tan∅ + sin∅/1-cot∅=sin∅+cos∅

Answer 1

Hey Mate! Your Solution is Here.

Step-by-step explanation:

LHS

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

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

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

=cos^2 A/cosA-sinA + sin^2 A/sinA-cosA

=cos^2 A-sin^2 A/cosA-sinA

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

=cosA+sinA

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