Question

enter the coordinates of the point on the unit circle at the given angle. -225° (-\frac{\sqrt{?}}{2}, \frac{\sqrt{}}{2})

Explanation:

Step1: Convert angle to positive

Add 360° to - 225°: -225° + 360° = 135°.

Step2: Recall unit - circle coordinates formula

For a point (x,y) on the unit circle at angle θ, x = cosθ and y = sinθ. For θ = 135°, cos135°=cos(180° - 45°)=-cos45° and sin135°=sin(180° - 45°)=sin45°.

Step3: Find cosine and sine values

Since cos45° = sin45°=$\frac{\sqrt{2}}{2}$, for θ = 135°, x=-$\frac{\sqrt{2}}{2}$ and y = $\frac{\sqrt{2}}{2}$.

Answer:

(-$\frac{\sqrt{2}}{2}$,$\frac{\sqrt{2}}{2}$)