Use the unit circle to find the value of sin 3pi/2 and cos 3pi/2

Step-by-step explanation:

First, determine the point on the unit circle which corresponds to angle (that is 270° in degrees)

Start from point (1,0) - this point represents angle 0.

Point (0,1) represents angle (that is 90° in degrees) point (-1,0) represents angle (that is 180° in degrees) and point (0,-1) represents angle

The first coordinate of this point is the value of cosine, then

the second coordinate is the value of sine, then

linear pair postulates

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)