Find the terminal point on the unit circle determined by 7π4 radians.Use exact values, not decimal approximations.

To find the terminal point on the unit circle determined by 7π/4 radians, we first need to understand that the unit circle is a circle with a radius of 1.

The terminal point of an angle in the unit circle is the point where the angle intersects the circle.

The angle 7π/4 radians is equivalent to 315 degrees.

In the unit circle, the coordinates of the terminal point are given by (cos θ, sin θ), where θ is the angle.

So, we need to find cos(7π/4) and sin(7π/4).

cos(7π/4) = cos(π/4) = √2/2 sin(7π/4) = -sin(π/4) = -√2/2

So, the terminal point on the unit circle determined by 7π/4 radians is (√2/2, -√2/2).