Unit circle

Front

What are the coordinates of the angle \( \frac{3\pi}{4} \) on the unit circle?

Back

The coordinates are \( \left(-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right) \).

Front

What is the radius of the unit circle?

Back

The radius of the unit circle is 1.

Front

What are the coordinates of the angle \( \frac{4\pi}{3} \) on the unit circle?

Back

The coordinates are \( \left(-\frac{1}{2}, -\frac{\sqrt{3}}{2}\right) \).

Front

What is \( \sin \frac{\pi}{4} \)?

Back

\( \sin \frac{\pi}{4} = \frac{\sqrt{2}}{2} \).

Front

What is half a circle in radians?

Back

Half a circle in radians is \( \pi \).

Front

What are the coordinates of the angle \( \frac{\pi}{3} \) on the unit circle?

Back

The coordinates are \( \left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right) \).

Front

What is the value of \( \cos \frac{\pi}{6} \)?

Back

\( \cos \frac{\pi}{6} = \frac{\sqrt{3}}{2} \).

Front

What are the coordinates of the angle \( \frac{5\pi}{4} \) on the unit circle?

Back

The coordinates are \( \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right) \).

Front

What is the value of \( \tan \frac{\pi}{4} \)?

Back

\( \tan \frac{\pi}{4} = 1 \).

Front

What are the coordinates of the angle \( \frac{2\pi}{3} \) on the unit circle?

Back

The coordinates are \( \left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right) \).