Angle Measures and the Unit Circle

Front

What is the formula to convert radians to degrees?

Back

Degrees = Radians × (180/π)

Front

Convert \( \frac{8\pi}{3} \) radians to degrees.

Back

480°

Front

What is the cosine of 60°?

Back

\( \frac{1}{2} \)

Front

If a point \( P = \left(-\frac{\sqrt[]{24}}{7}, y\right) \) lies on the unit circle, how do you find the value of y?

Back

Use the equation \( x^2 + y^2 = 1 \) to solve for y.

Front

What is the value of \( y \) when \( P = \left(-\frac{\sqrt[]{24}}{7}, y\right) \) on the unit circle?

Back

\( \frac{5}{7} \)

Front

What is the cosine of 150°?

Back

\( -\frac{\sqrt{3}}{2} \)

Front

Given the point \( P = \left(-\frac{\sqrt{3}}{2}, -\frac{1}{2}\right) \) on the unit circle, how do you find the angle of the terminal side?

Back

Use the reference angle and the quadrant to determine the angle.

Front

What is the angle corresponding to the point \( P = \left(-\frac{\sqrt{3}}{2}, -\frac{1}{2}\right) \) on the unit circle?

Back

210°

Front

What is the unit circle?

Back

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

Front

What are the coordinates of points on the unit circle for common angles (0°, 30°, 45°, 60°, 90°)?

Back

(1,0), (\frac{\sqrt{3}}{2}, \frac{1}{2}), (\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}), (\frac{1}{2}, \frac{\sqrt{3}}{2}), (0,1) respectively.