Question

Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

I don't understand what I'm suppose to be doing here.

Answer 1

Basically you have this grid here:



So it just wants you to find angle X here, then evaluate it for sin x. (Assume q = x)

Answer 2

So do I do sin(4)?

Answer 3

No, you want the angle X first, remember that tan(X) = y/x = 3/4.

So it follows that arctan or tan^-1(3/4) = 36.8698976 degrees.

Then you just find sin(36.8698976) to get your answer.

Answer 4

Oh okai I didn't know that, thank you c:

Answer 5

No problem.