Question
Let $f(x)=\sin x$ \& $g(x)=\sqrt{\frac{1-\cos 2 x}{2}}$ Is $f=g ?$
Step 1
We know that $1-\cos 2x = 2\sin^2 x$. So, we can rewrite $g(x)$ as follows: \[g(x) = \sqrt{\frac{2\sin^2 x}{2}} = \sqrt{\sin^2 x} = |\sin x|\] Show more…
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