(i) cos'A-sin'A = cos 2A
(1-sin? 2A
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Step-by-step explanation:
1+sin2A−cos2A1+sin2A+cos2A
=sin2A+1−(1−2sin2A)sin2A+1+2cos2A−1
=2sinAcosA+2sin2A2sinAcosA+2cos2A
=2sinA(cosA+sinA)2cosA(sinA+cosA)
=sinAcosA=cotA.
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