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olganol [36]
4 years ago
6

Simplify cos^(2) 6θ − sin^(2) 6θ by using either the double-angle or half-angle formulas

Mathematics
1 answer:
IceJOKER [234]4 years ago
7 0
Recall your double-angle identities


\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\\\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}
\\ \quad \\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-----------------------------\\\\
cos^2(6\theta)-sin^2(6\theta)\iff cos[2(6\theta)]\implies cos(12\theta)
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