Angle Measures and the Unit Circle

Front

What is the formula to convert radians to degrees?

Back

Degrees = Radians × (180/π)

Tags

CCSS.HSF.TF.A.1

Front

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

Back

480°

Tags

CCSS.HSF.TF.A.1

Front

What is the cosine of 60°?

Back

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

Tags

CCSS.HSG.SRT.C.7

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.

Tags

CCSS.HSF.TF.A.2

Front

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

Back

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

Tags

CCSS.HSF.TF.A.2

Front

What is the cosine of 150°?

Back

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

Tags

CCSS.HSF.TF.A.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.

Tags

CCSS.HSF.TF.A.2

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°

Tags

CCSS.HSF.TF.A.2

Front

What is the unit circle?

Back

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

Tags

CCSS.5.G.A.1

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.

Tags

CCSS.HSF.TF.A.2