Use the Given Function Value(s),and Trigonometric Identities (Including the Cofunction $\cot \alpha = 3$

Multiple Choice

Use the given function value(s) ,and trigonometric identities (including the cofunction identities) ,to find the indicated trigonometric functions. ?? $\cot \alpha = 3$ ? $\tan \alpha \text { and } \cot \left( 90 ^ { \circ } - \alpha \right)$ ?

A) ? $\tan \alpha = - \frac { 1 } { 3 }$ and $\cot \left( 90 ^ { \circ } - \alpha \right) = - \frac { 1 } { 3 }$
B) ? $\tan \alpha = \frac { 1 } { 3 }$ and $\cot \left( 90 ^ { \circ } - \alpha \right) = 3$
C) $\tan \alpha = \frac { 1 } { 3 }$ and $\cot \left( 90 ^ { \circ } - \alpha \right) = \frac { 1 } { 3 }$
D) ? $\tan \alpha = 3$ and $\cot \left( 90 ^ { \circ } - \alpha \right) = 3$
E) ? $\tan \alpha = 3$ and $\cot \left( 90 ^ { \circ } - \alpha \right) = \frac { 1 } { 3 }$