Find the Exact Values of the Three Trigonometric Functions Sine $a = \frac { 5 } { 13 } , b = \frac { 12 } { 13 }$

Multiple Choice

Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t. $a = \frac { 5 } { 13 } , b = \frac { 12 } { 13 }$

A) $\begin{array} { l } \sin t = - \frac { 12 } { 13 } \\\cos t = \frac { 5 } { 13 } \\\tan t = \frac { 12 } { 5 }\end{array}$
B) $\begin{array} { l } \sin t = \frac { 13 } { 5 } \\\cos t = \frac { 13 } { 12 } \\\tan t = \frac { 5 } { 12 }\end{array}$
C) $\begin{array} { l } \sin t = \frac { 12 } { 13 } \\\cos t = \frac { 12 } { 5 } \\\tan t = \frac { 5 } { 13 }\end{array}$
D) $\begin{array} { l } \sin t = \frac { 12 } { 5 } \\\cos t = \frac { 5 } { 13 } \\\tan t = \frac { 12 } { 13 }\end{array}$
E) $\begin{array} { l } \sin t = - \frac { 12 } { 13 } \\\cos t = \frac { 5 } { 13 } \\\tan t = - \frac { 12 } { 5 }\end{array}$