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

samkenndcnt

samkenndcnt

Answered question

2023-01-02

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

Answer & Explanation

Jewel Kelly

Jewel Kelly

Beginner2023-01-03Added 11 answers

The entire expression can be rewritten as
cosxsinx
We multiply both numerator and denominator by the numerator to rationalize.
cosxsinxcosxcosx
cosxsinxcosx
Add an absolute value on the cosx.
|cosx|sinxcosx

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