Math, asked by vaibhav9682, 1 year ago

1 + sin 2a + cos 2a/ 1 + sin 2a - cos 2a = cot a

Answers

Answered by kiranmai1626

1

1+sin2A+cos2A1+sin2A-cos2A
=sin2A+cos2A+sin2A+cos2Asin2A+cos2A+sin2A-cos2A [Since, sin2A+cos2A=1]

=sin2A+cos2A+2sinAcosA+cos2Asin2A+cos2A+2sinAcosA-cos2A [Since, sin2A=2sinAcosA]

=sin2A+cos2A+2sinAcosA+cos2A-sin2Asin2A+cos2A+2sinAcosA-cos2A-sin2A [Since, cos2A=cos2A-sin2A]

=sin2A+cos2A+2sinAcosA+cos2A-sin2Asin2A+cos2A+2sinAcosA-cos2A+sin2A=2cos2A+2sinAcosA2sin2A+2sinAcosA=cosAsinAcosA+sinAsinA+cosA=cosAsinA=cotA

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