Question

prove that Cos A by 1 minus tan A + sin a by 1 minus cot a is equal to Sin A + Cos A​

Answer 1

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

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

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

=((cos^2A)/(cosA-SinA))+((sin^2A)/(sinA-cosA))

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

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

=cosA+sinA

hope this helps you

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