# (1+sin2a + cos2a)^2 = 4 cos^2a(1+ sin2a)

Feb 3rd, 2012
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(1+sin2a + cos2a)^2 = 4 cos^2a(1+ sin2a)

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(1+sin2a + cos2a)^2 = 4 cos^2a(1+ sin2a)Proof. Its necessary to prove that(1 + sin 2x + cos 2x)2 = 4 cos2 x (1 + sin 2x) .(1)Consider the left side of this equality. Its well known that sin 2x = 2 sin x cos xand cos 2x = 2 cos2 x 1. Having substituted these equalities to (1), we ge

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