Which of the following would be an acceptable first step in simplifying the expression cot x / 1 - csc x

Question

Mathematics

Lily Arroyo

12 August, 17:41

Which of the following would be an acceptable first step in simplifying the expression cot x / 1 - csc x

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Dakota Irwin · Answer 1

Hello:

cot (x) = 1/tan (x)

csc (x) 1/sin (x)

cot (x) / 1 - csc (x) = (1/tan (x)) / 1-1/sin (x)

= (1/tan (x)) / (sin (x) - 1) / sin (x)

= (1/tan (x)) * sin (x) / (sin (x) - 1)

=cos (x) (sin (x) - 1)