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CecyRamirez CecyRamirez
  • 20-03-2015
  • Mathematics
Answered

Use an angle sum identity to derive each double-angle identity.


COS 2(theta) = 2 COS^2(theta) -1


S.O.S

Verified Answer :

Anonymous Anonymous
  • 20-03-2015

\(\ [cos(2\theta)]'=(2cos^2\theta-1)'=2(cos^2\theta)'-(1)'\\\\=2\cdot2cos\theta\cdot(-sin\theta)-0=-2\cdot2sin\theta cos\theta=\boxed{-2sin2\theta}\\\\Used:\\\ [f(x)-g(x)]'=f'(x)-g'(x)\\\{f[g(x)]\}'=f'[g(x)]\cdot g'(x)\\(cosx)'=-sinx\\sin2x=2sinxcosx\)

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