Math, asked by destructor198804, 3 months ago

prove that sina/1+cosa + sina/1-cosa = 2/sina

Answers

Answered by ponnuchinnu86

1

Answer:

L.H.S. =sinA1+cosA+1+cosAsinA

=sinA(1+cosA)(1+cosA)(1+cosA)+sinAsinA

=(1+cosA)sinA(1+cosA)2+sin2A

=(1+cosA)sinA1+cos2A+2cosA+sin2A

=(1+cosA)sinA1+2cosA+1

=(1+cosA)sinA2+2cosA

=(1+cosA)sinA2(1+cosA)

=2sinA1

=2cosecA

=R.H.S

Hence proved.

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