Answer
sin t = -$\frac{\sqrt 2}{2}$ , cos t = $\frac{\sqrt 2}{2}$
tan t =-1, csc t = -$\frac{2}{\sqrt 2}$
sec t = $\frac{2}{\sqrt 2}$ , cot t =-1
Work Step by Step
($\frac{\sqrt 2}{2}$ , -$\frac{\sqrt 2}{2}$)
sin t corresponds to y value
So sin t = -$\frac{\sqrt 2}{2}$
cos t corresponds to x value
cos t = $\frac{\sqrt 2}{2}$
tan t is computed by $\frac{y}{x}$
So tan t = $\frac{\frac{-\sqrt 2}{2}}{\frac{\sqrt 2}{2}}$ = -1
csc t = $\frac{1}{sin t}$
So, csc t = -$\frac{2}{\sqrt 2}$
sec t = $\frac{1}{cos t}$
so sec t = $\frac{2}{\sqrt 2}$
cot t = $\frac{1}{tan t}$
so cot t =-1
