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!