Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. $$\sin \alpha ( \csc \alpha - \sin \alpha )$$
A) $1 - \tan ^ { 2 } \alpha$
B) $\frac { \csc ^ { 2 } \alpha - 1 } { \csc ^ { 2 } \alpha }$
C) $\frac { \csc ^ { 2 } \alpha - \sec ^ { 2 } \alpha + \tan ^ { 2 } \alpha } { \csc ^ { 2 } \alpha }$
D)$\cos ^ { 2 } \alpha$

Question

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.​ $$\sin \alpha ( \csc \alpha - \sin \alpha )$$
A)​ $1 - \tan ^ { 2 } \alpha$
B)​ $\frac { \csc ^ { 2 } \alpha - 1 } { \csc ^ { 2 } \alpha }$
C)​ $\frac { \csc ^ { 2 } \alpha - \sec ^ { 2 } \alpha + \tan ^ { 2 } \alpha } { \csc ^ { 2 } \alpha }$
D)​$\cos ^ { 2 } \alpha$

Quizplus · Accepted Answer

The Answer of Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.​ $$\sin \alpha ( \csc \alpha - \sin \alpha )$$
A)​ $1 - \tan ^ { 2 } \alpha$
B)​ $\frac { \csc ^ { 2 } \alpha - 1 } { \csc ^ { 2 } \alpha }$
C)​ $\frac { \csc ^ { 2 } \alpha - \sec ^ { 2 } \alpha + \tan ^ { 2 } \alpha } { \csc ^ { 2 } \alpha }$
D)​$\cos ^ { 2 } \alpha$

Use Fundamental Identities to Simplify the Expression Below and Then sin⁡α(csc⁡α−sin⁡α)\sin \alpha ( \csc \alpha - \sin \alpha )sinα(cscα−sinα)

Use Fundamental Identities to Simplify the Expression Below and Then $\sin \alpha ( \csc \alpha - \sin \alpha )$