Answer:
The answer to your question is sin 3π/2 = -1 and cos 3π/2 = 0
Explanation:
Convert 3π/ 2 to degrees
π ---------------------- 180°
3π/2 -------------------- x
x = (3π/2 x 180)/π
x = 270°
In the third quadrant we must look for this information
sin Ф = opposite side/hypotenuse
sin 3π/2 = -1/1 = -1
cos Ф = adjacent side/ hypotenuse
cos 3π/2 = 0/1 = 0
hypotenuse always measures 1 in the unit circle.