Question

The point (8, –15) is on the terminal side of an angle θ. What is sin θ ?

A. -15

B. ` – (15)/(17)`

C. `(15)/(17)`

D. `(–15)/(8)`

Answer 1

Alright, lets get started.

We have given point (8, -15). It lies in Q4.

Please refer the diagram attached.

The hypotenuse of the right angle triangle could be found with help of Pythagorean theorem.

d = sqrt (8^2 + 15^2)

d = sqrt (64 + 225)

d = sqrt 289

d = 17

sin Ф = opposite / hypotenuse

sin Ф = -15 / 17 : Answer

Hope it will help :)