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How do you rewrite this so it is not in fractional form?
(tanx)/(cscx-1)
1 Answer
- Anonymous1 decade agoFavorite Answer
Since cosecant is the same as one over sine, you can just turn it into (tanx)(sin(x-1)). Here's a breakdown of the rewrite if you have a hard time doing that in your head.
(tanx)/(csc(x-1))
(tanx)/(1/(sin(x-1))) [Rewrite (csc) as (1/sin)]
(tanx) * (sin(x-1))/1 [Flip fraction being divided so it's multiplied by its reciprocal--basic fraction rule]
(tanx)(sin(x-1)) [Don't need one as a denominator--fully simplified]
Bingo--no longer in fractional form.
Source(s): Honors precalculus student with 4.0+ GPA.