Rewrite the expression so that it is not in functional form: (sin x)/(csc x-1)
To rewrite the expression (sin x)/(csc x-1) in a form that is not in functional form, we can start by simplifying the denominator, csc x - 1.
Recall that csc x is the reciprocal of sin x, or 1/sin x. So, csc x - 1 can be simplified as:
csc x - 1 = 1/sin x - 1
Next, to eliminate the fraction, we can multiply the numerator and denominator of the expression (sin x)/(1/sin x - 1) by sin x:
(sin x)(sin x) / [1/sin x - 1]
Simplifying further, we have:
sin^2 x / [1 - sin x]
Therefore, the rewritten expression that is not in functional form is sin^2 x / (1 - sin x).