Question

A point P (x, y) is shown on the unit circle U corresponding to a real number t. Find the values of the trigonometric functions at t.

Answer 1

Sin(t)=8/17
cos(t)=-15/17
tan(t)=-8/15
sec(t)=-17/15
csc(t)=17/8
cot(t)=-15/8

Answer 2

Answer:

Step-by-step explanation:

Point given to us is $(\frac{-15}{17} ,\frac{8}{17} )$

It means we have

$x=\frac{-15}{17} \\y =\frac{8}{17}$

Also since it is an unit circle that means the radius of the circle , r =1

Now using the concept of trigonometric ratios

$sin(t) = \frac{y}{r} =\frac{8}{17}\\ cos(t) = \frac{x}{r} =\frac{-15}{17}\\ tan(t) = \frac{y}{x} =\frac{-8}{15}$

$csc(t) = \frac{r}{y} =\frac{17}{8}\\ sec(t) = \frac{r}{x} =\frac{-17}{15}\\ co(t) = \frac{x}{y} =\frac{-15}{8}$