CW-Special Angles on the Unit Circle (60 degrees)

Front

What is the value of \( \csc 480^\circ \)?

Back

The exact value is \( \frac{2\sqrt{3}}{3} \).

Front

What are the coordinates on the unit circle for an angle measuring \( 8400^\circ \)?

Back

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

Front

What is the value of \( \csc \frac{7\pi}{3} \)?

Back

The exact value is \( \frac{2\sqrt{3}}{3} \).

Front

What is the value of \( \tan \left(-\frac{28\pi}{3}\right) \)?

Back

The exact value is \( -\sqrt{3} \).

Front

Which angle in standard position terminates in the first quadrant: \( -\frac{\pi}{3} \), \( \frac{25\pi}{3} \), \( -\frac{16\pi}{3} \), or \( \frac{8\pi}{3} \)?

Back

The angle that terminates in the first quadrant is \( \frac{25\pi}{3} \).

Front

Define the unit circle.

Back

The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane.

Front

What is the relationship between degrees and radians?

Back

To convert degrees to radians, multiply by \( \frac{\pi}{180} \).

Front

What is the sine of \( 60^\circ \)?

Back

The sine of \( 60^\circ \) is \( \frac{\sqrt{3}}{2} \).

Front

What is the cosine of \( 60^\circ \)?

Back

The cosine of \( 60^\circ \) is \( \frac{1}{2} \).

Front

What is the tangent of \( 60^\circ \)?

Back

The tangent of \( 60^\circ \) is \( \sqrt{3} \).