Unit Circle - Trig

Front

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

Back

The value of \( \cos \frac{\pi}{6} \) is \( \frac{\sqrt{3}}{2} \).

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( \sin \frac{\pi}{2} \)?

Back

The value of \( \sin \frac{\pi}{2} \) is \( 1 \).

Tags

CCSS.HSF.TF.A.2

Front

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

Back

The value of \( \tan \frac{\pi}{4} \) is \( 1 \).

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( \tan \frac{5\pi}{6} \)?

Back

The value of \( \tan \frac{5\pi}{6} \) is \( -\frac{\sqrt{3}}{3} \).

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( \cos \frac{4\pi}{3} \)?

Back

The value of \( \cos \frac{4\pi}{3} \) is \( -\frac{1}{2} \).

Tags

CCSS.HSF.TF.A.2

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Tags

CCSS.HSF.TF.A.2

Front

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

Back

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

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between sine and cosine on the unit circle?

Back

On the unit circle, \( \sin \theta \) is the y-coordinate and \( \cos \theta \) is the x-coordinate of the point corresponding to the angle \( \theta \).

Tags

CCSS.HSF.TF.A.2

Front

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

Back

The value of \( \sin \frac{\pi}{6} \) is \( \frac{1}{2} \).

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( \cos \frac{3\pi}{2} \)?

Back

The value of \( \cos \frac{3\pi}{2} \) is \( 0 \).

Tags

CCSS.HSF.TF.A.2