Answer
sin t = -$\frac{12}{13}$ , cos t = -$\frac{5}{13}$
tan t = $\frac{12}{5}$, csc t = -$\frac{13}{12}$
sec t = -$\frac{13}{5}$ , cot t = $\frac{5}{12}$
Work Step by Step
(-$\frac{5}{13}$ , -$\frac{12}{13}$)
sin t corresponds to y value
So sin t = -$\frac{12}{13}$
cos t corresponds to x value
cos t = -$\frac{5}{13}$
tan t is computed by $\frac{y}{x}$
So tan t = $\frac{\frac{-12}{13}}{\frac{-5}{13}}$ = $\frac{12}{5}$
csc t = $\frac{1}{sin t}$
So, csc t = -$\frac{13}{12}$
sec t = $\frac{1}{cos t}$
so sec t = -$\frac{13}{5}$
cot t = $\frac{1}{tan t}$
so cot t = $\frac{5}{12}$
