1- sin A/1+sin A as sec A-ta7,Express – InterviewSolution

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1.

1- sin A/1+sin A as sec A-ta7,Express

Answer»

L.H.S.=√1-sinA/1+sinA

=√(1-sinA)(1-sinA)/(1+sinA)(1-sinA)

=√(1-sinA)^2/1-sin^2 A

=√(1- sinA)^2/cos^2 A

=(1- sinA)/cosA

= 1/cos A - sinA/cosA

=secA - tanA

LHS = RHS

Hence proved

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