How do you rationalize the numerator for $sqrt(cosx/sinx)$ ?

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Answer 1 · 2017-02-25T16:13:28

$|cosx|/sqrt(sinxcosx)$

We can rewrite the entire expression as

$sqrt(cosx)/sqrt(sinx)$

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

$sqrt(cosx)/sqrt(sinx) * sqrt(cosx)/sqrt(cosx)$

$cosx/sqrt(sinxcosx)$

Add an absolute value on the $cosx$ .

$|cosx|/sqrt(sinxcosx)$

Hopefully this helps!

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