Trig Functions on the Unit Circle

Front

What is the degree equivalent of \(\frac{\pi}{6}\) radians?

Back

30°

Front

What is the value of \(\sin(\frac{7\pi}{6})\)?

Back

-\frac{1}{2}

Front

Evaluate \(\cos(225°)\).

Back

-\frac{\sqrt{2}}{2}

Front

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

Back

1

Front

Evaluate \(\csc(\frac{3\pi}{4})\).

Back

\sqrt{2}

Front

Define the unit circle.

Back

A circle with a radius of 1 centered at the origin of a coordinate plane.

Front

What is the sine of an angle in the unit circle?

Back

The y-coordinate of the point where the terminal side of the angle intersects the unit circle.

Front

What is the cosine of an angle in the unit circle?

Back

The x-coordinate of the point where the terminal side of the angle intersects the unit circle.

Front

What is the tangent of an angle in the unit circle?

Back

The ratio of the sine to the cosine of the angle, or \(\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\).

Front

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

Back

\(\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\)