Question

Find the value of the sine of the smallest angle in standard position with the point (-12, 5) on its terminal side. Give as four decimals.
a. 0.3846
b. -0.4167
c. 0.4167
d. 2.6000

Answer 1

r^2 = X^2 + Y^2 (-12)^2 + 5^2 = 169.
r = 13.

sin A = Y/r = 5/13 = 0.3846.