Rewrite the expression so that it is not in fractional form.

Question

9tan²(x) / csc(x) + 1

Answer: ______

Answer 1

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)

Answer 2

Remember that 1/csc(x) = sin(x), so 9tan²(x)/csc(x) + 1 = 9tan²(x)sin(x) + 1.