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

Question

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

Quizplus · Accepted Answer

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

Use Fundamental Identities to Simplify the Expression Below and Then cos⁡α(sec⁡α−cos⁡α)\cos \alpha ( \sec \alpha - \cos \alpha )cosα(secα−cosα)

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