Rewrite the expression $\frac { \sin ( y ) } { 1 - \cos ( y ) }$ so that it is not in fractional form.
A) $\sin ^ { 2 } - \sin ( y ) \tan ( y )$
B) $1 - \sin ( y ) \tan ( y )$
C) $\csc ( y ) + \cot ( y )$
D) $\sin ^ { 2 } + \sin ( y ) \tan ( y )$
E) $1 - \cos ( y )$

Question

Quizplus · Accepted Answer

The expression can be rewritten using trigonometric identities. Specifically, the given expression $\frac{\sin(y)}{1 - \cos(y)}$ can be transformed using the identity $\csc(y) = \frac{1}{\sin(y)}$ and $\cot(y) = \frac{\cos(y)}{\sin(y)}$. By adding $\csc(y)$ to both the numerator and denominator, and recognizing that $1 - \cos(y)$ in the denominator can be paired with $\sin(y)$ in the numerator to form $\cot(y)$, we arrive at the expression $\csc(y) + \cot(y)$.

Rewrite the Expression sin⁡(y)1−cos⁡(y)\frac { \sin ( y ) } { 1 - \cos ( y ) }1−cos(y)sin(y)​

Rewrite the Expression $\frac { \sin ( y ) } { 1 - \cos ( y ) }$