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. The key is to recognize that $1 - \cos(y)$ can be transformed using the Pythagorean identity $\sin^2(y) + \cos^2(y) = 1$, leading to $\sin^2(y)$ in the denominator when $\cos(y)$ is moved. The original expression $\frac{\sin(y)}{1 - \cos(y)}$ can be rewritten as $\frac{\sin(y)}{\sin^2(y)}$, which simplifies to $\frac{1}{\sin(y)} + \frac{\cos(y)}{\sin(y)}$, or $\csc(y) + \cot(y)$.

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

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