Answer
tan t = $\frac{8}{15}$
csc t = $\frac{17}{8}$
sec t =$\frac{17}{15}$
cot t = $\frac{15}{8}$
Work Step by Step
tan t is computed by $\frac{sin t}{cos t}$
tan t = $\frac{sin t}{cos t}$
=$\frac{\frac{8}{17}}{\frac{15}{17}}$ =$\frac{8}{15}$
csc t = $\frac{1}{sin t}$ = $\frac{1}{\frac{8}{17}}$ = $\frac{17}{8}$
sec t = $\frac{1}{cos t}$ = $\frac{1}{\frac{15}{17}}$ = $\frac{17}{15}$
cot t = $\frac{1}{tan t}$ = $\frac{1}{\frac{8}{15}}$ = $\frac{15}{8}$