Rationalize the numerator. $$\sqrt{\frac{\cos ^{2} x}{2 \sin ^{2} x}}$$
Added by Samantha C.
Step 1
First, we can simplify the fraction inside the square root by using the identity $\cos^2 x + \sin^2 x = 1$: $$\frac{\cos^2 x}{2\sin^2 x} = \frac{\cos^2 x}{2(1-\cos^2 x)} = \frac{1}{2}\cdot\frac{\cos^2 x}{1-\cos^2 x}$$ Show more…
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