ashap40
ashap40
14-06-2017
Mathematics
contestada
Find cos(20) if 0=pi/3
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jdoe0001
jdoe0001
14-06-2017
[tex]\bf \textit{Double Angle Identities} \\ \quad \\ cos(2\theta)= \begin{cases} cos^2(\theta)-sin^2(\theta)\\ 1-2sin^2(\theta)\\ \boxed{2cos^2(\theta)-1} \end{cases}\\\\ -------------------------------\\\\ cos(2\theta)\implies 2cos^2(\theta)-1\qquad \theta=\frac{\pi }{3}\implies 2\left[ cos\left( \frac{\pi }{3} \right)\right]^2-1 \\\\\\ 2\left[ \cfrac{1}{2} \right]^2-1\implies 2\cdot \cfrac{1}{4}-1\implies \cfrac{1}{2}-1\implies -\cfrac{1}{2}[/tex]
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