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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