How do you rationalize the numerator for $\sqrt{\frac{cos x}{sin x}}$ $sqrt(cosx/sinx)$ ?

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How do you rationalize the numerator for $\sqrt{\frac{cos x}{sin x}}$ $sqrt(cosx/sinx)$ ?

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Answer 1 · 2017-02-25T16:13:28

$\frac{| cos x |}{\sqrt{sin x cos x}}$ $|cosx|/sqrt(sinxcosx)$

Explanation:

We can rewrite the entire expression as

$\frac{\sqrt{cos x}}{\sqrt{sin x}}$ $sqrt(cosx)/sqrt(sinx)$

We multiply both numerator and denominator by the numerator to rationalize.

$\frac{\sqrt{cos x}}{\sqrt{sin x}} \cdot \frac{\sqrt{cos x}}{\sqrt{cos x}}$ $sqrt(cosx)/sqrt(sinx) * sqrt(cosx)/sqrt(cosx)$

$\frac{cos x}{\sqrt{sin x cos x}}$ $cosx/sqrt(sinxcosx)$

Add an absolute value on the $cos x$ $cosx$ .

$\frac{| cos x |}{\sqrt{sin x cos x}}$ $|cosx|/sqrt(sinxcosx)$

Hopefully this helps!

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How do you rationalize the numerator for $\sqrt{\frac{cos x}{sin x}}$ $sqrt(cosx/sinx)$ ?

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How do you rationalize the numerator for √cosxsinxsqrt(cosx/sinx)?

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Explanation:

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How do you rationalize the numerator for $\sqrt{\frac{cos x}{sin x}}$ $sqrt(cosx/sinx)$ ?