Find the exact values of cos (3pi/4 radians) and sin (3pi/4 radians).

Answer 1

To find the exact values of cos(3π/4) and sin(3π/4), we can use the unit circle.

First, let's find the point on the unit circle corresponding to the angle 3π/4 radians.

3π/4 is between π/2 and π, so it lies in the second quadrant.

In the second quadrant, the x-coordinate is negative and the y-coordinate is positive.

The point on the unit circle in the second quadrant at an angle of 3π/4 radians is (-√2/2, √2/2).

So, cos(3π/4) = -√2/2 and sin(3π/4) = √2/2.