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

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: