Starting with the Identity $\sin ^ { 2 } x + \cos ^ { 2 } x = 1$

Multiple Choice

Starting with the identity $\sin ^ { 2 } x + \cos ^ { 2 } x = 1$ , choose the right trigonometric identity.

A) $\sec ^ { 2 } x = 1 + \tan ^ { 2 } x$
B) $\sec ^ { 2 } x = 1 - \tan ^ { 2 } x$
C) $\cot ^ { 2 } x = 1 - \tan ^ { 2 } x$
D) $\sin ^ { 2 } x = 1 + \tan ^ { 2 } x$
E) $\sec ^ { 2 } x = 1 + \csc ^ { 2 } x$