Aerin H.

asked • 01/24/21# Rewrite the expression so that it is not in fractional form.

9tan^{2}(x) / csc(x) + 1

Answer: ______

## 2 Answers By Expert Tutors

Patrick B. answered • 01/24/21

Math and computer tutor/teacher

Rationalizes the denominator:

9 tan^2 (csc x - 1)

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(cscx+1)(cscx-1)

9 tan^2 (csc x - 1)

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csc^2 - 1

9 tan^2 (csc x - 1)

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cot^2

9 tan^4(csc -1)

Remember that 1/csc(x) = sin(x), so 9tan^{2}(x)/csc(x) + 1 = 9tan^{2}(x)sin(x) + 1.

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Patrick B.

There is confusion about the fraction: is the denominator just the cosecant??? or is it [ csc x + 1] ???? Please use parenthesis and braces to clarify what is the denominator01/24/21