Prove the identity
sin² x = 1-cos² x
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sin (x + y) = (sin x)(cos y) + (cos x)(sin y) sin (x + x) ... Example 1: Verify, (sin x + cos x)2 = 1 + sin 2x:.sin2x=2sinxcosx. ∙cos2x=cos2x−sin2x. and using sin2x+cos2x=1 we can also obtain
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