Terminal numerical value

Question

If the terminal side of angle theta, in standard position, passes through the point (8,-17), what is the numerical value of sin

Answer 1

(8,-17) is in the 4th quadrant where SIN is negative, so it's -0.4258

Answer 2

8^2 + 17^2 = 64 + 289 = 353

sqr353 = about 18.8 = hypotenuse

sin(theta) = opposite side/hypotenuse 8/18.8 = about 0.426

theta = tan^-1(8/-17) = about 25.2 degrees as the reference angle

180-25.2 = 154.8 degrees = theta

sin154.8 = 0.426