Answer
tan t = $\frac{3}{4}$
csc t = $\frac{5}{3}$
sec t = $\frac{5}{4}$
cot t = $\frac{4}{3}$
Work Step by Step
tan t is computed by $\frac{sin t}{cos t}$
tan t = $\frac{sin t}{cos t}$
=$\frac{\frac{3}{5}}{\frac{4}{5}}$ =$\frac{3}{4}$
csc t = $\frac{1}{sin t}$ = $\frac{1}{\frac{3}{5}}$ = $\frac{5}{3}$
sec t = $\frac{1}{cos t}$ = $\frac{1}{\frac{4}{5}}$ = $\frac{5}{4}$
cot t = $\frac{1}{tan t}$ = $\frac{1}{\frac{3}{4}}$ = $\frac{4}{3}$
