Math, asked by chethahappy, 11 months ago

sin A /1-cos A + tan A / 1+cos A = cot A + cosec A sec A​

Answers

Answered by sahooratnakar71
2

=SinA(1+CosA)+TanA(1+CosA)/(1-cosA)1+cosA)

=sinA+sinAcosA+tanA-tanAcosA/1-cos^2A

=sinA+sinAcosA+tanA-sinA/sin^2A

=sinA(cosA+1/cosA)/sin^2A

=cos^2A+1/cosA/sinA

=cos^2A+1/sinAcosA

=cos^2A/sinAcosA+1/sinAcosA

=cosA/sinA+1/sinAcosA

=cotA+cosecAsecA=RHS(Proved).

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