In the \(xy\)-plane, a unit circle with center at the origin \(O\) co…

Question

Prompt

In the

x y

-plane, a unit circle with center at the origin

O

contains point

A

with coordinates

(1, 0)

and point

B

with coordinates

(- \frac{8}{89}, \frac{5}{89})

. If the measure of angle

A O B

w

radians, what is the value of

tan w