Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a point p(x,y) is shown on the unit circle corresponding to a real numb…

Question

a point p(x,y) is shown on the unit circle corresponding to a real number t. find the values of the trigonometric functions at t. the point p is p(15/17, 8/17). a. sin t = (type an integer or a simplified fraction.)

Explanation:

Step1: Recall sine - unit circle definition

For a point $P(x,y)$ on the unit circle corresponding to a real number $t$, $\sin t=y$.

Step2: Identify the y - coordinate

The point $P$ is given as $P(\frac{15}{17},\frac{8}{17})$, so $y = \frac{8}{17}$.

Answer:

$\frac{8}{17}$