Question

enter the coordinates of the point on the unit circle at the given angle. - 45° (√? / 2, - √2 / 2)

Explanation:

Step1: Recall unit - circle coordinate formula

For a point on the unit circle at an angle $\theta$, the coordinates are $(x,y)=(\cos\theta,\sin\theta)$. Here $\theta=- 45^{\circ}$.

Step2: Calculate the x - coordinate

We know that $\cos(-45^{\circ})=\cos(45^{\circ})=\frac{\sqrt{2}}{2}$.

Step3: Calculate the y - coordinate

We know that $\sin(-45^{\circ})=-\sin(45^{\circ})=-\frac{\sqrt{2}}{2}$.

Answer:

The missing number in the x - coordinate is $2$ and the missing number in the y - coordinate denominator is $2$. So the point on the unit circle at the angle $-45^{\circ}$ is $(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2})$.