# Period of f(x)= sin^4 x +cos^4 x is

Solution:`  We have ,   $f(x)=\sin^{4}x+\cos^{4}x$

$\\ \\ \Rightarrow \hspace{1cm}\sin^{4}x \rightarrow T_{1}=\frac{\pi}{1}\\ \\ \Rightarrow \hspace{1cm}\cos^{4}x\rightarrow T_{2}=\frac{\pi}{1}\\ \\ \Rightarrow \hspace{1cm}T=\frac{LCM \hspace{0.2cm}of \hspace{0.2cm} \pi }{HCF \hspace{0.2cm}of \hspace{0.2cm} 1}=\pi$

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