24) prove thatedochtan+A-OSATSIMAamo – InterviewSolution

1.

24) prove thatedochtan+A-OSATSIMAamo

Answer»

LHS: tan(pi/4 + A)

= tan pi/4 + tanA/ 1 - tan pi/4.tan A

= 1 + tanA/ 1 - 1*tanA

= 1 + sinA/cosA / 1 - sin A/cosA

= (cos A + sin A) / (cos A - sin A)

= RHS

Hence proved

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