Trigonometry, Unit Circle - Angle (Degrees) to Coordinates (30s)

Level 1

This topic covers the conversion of angles in degrees to coordinates on the unit circle, specifically focusing on angles that are multiples of 30 degrees. The questions present specific angles like 30°, 300°, 135°, and others, asking for the corresponding coordinates on the unit circle. Each question offers multiple-choice answers with the coordinates expressed in exact values, often involving the square roots of 2 or 3, and fractions. This is useful for students to understand trigonometric functions, angle measurements, and their exact trigonometric values.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry, Unit Circle - Angle (Degrees) to Coordinates (30s) Worksheet

Trigonometry, Unit Circle - Angle (Degrees) to Coordinates (30s)

What are the coordinates of the point on the unit circle at 30°?

a $A LaTex expression showing (\frac{square root of 2}{2},\frac{square root of 2}{2})$

b $A LaTex expression showing (\frac{square root of 3}{2},1 over 2 )$

What are the coordinates of the point on the unit circle at 300°?

a $A LaTex expression showing (\frac{square root of 2}{2},-\frac{square root of 2}{2})$

b $A LaTex expression showing (1 over 2 ,-\frac{square root of 3}{2})$

What are the coordinates of the point on the unit circle at 135°?

a $A LaTex expression showing (-\frac{square root of 2}{2},\frac{square root of 2}{2})$

b $A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})$

What are the coordinates of the point on the unit circle at 120°?

a $A LaTex expression showing (\frac{square root of 3}{2},1 over 2 )$

b $A LaTex expression showing (-1 over 2 ,\frac{square root of 3}{2})$

What are the coordinates of the point on the unit circle at 315°?

a $A LaTex expression showing (\frac{square root of 2}{2},-\frac{square root of 2}{2})$

b $A LaTex expression showing (-1 over 2 ,-\frac{square root of 3}{2})$

What are the coordinates of the point on the unit circle at 150°?

a $A LaTex expression showing (-\frac{square root of 3}{2},-1 over 2 )$

b $A LaTex expression showing (-\frac{square root of 3}{2},1 over 2 )$

What are the coordinates of the point on the unit circle at 225°?

a $A LaTex expression showing (-\frac{square root of 2}{2},\frac{square root of 2}{2})$

b $A LaTex expression showing (-\frac{square root of 2}{2},-\frac{square root of 2}{2})$

What are the coordinates of the point on the unit circle at 60°?

a $A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})$

b $A LaTex expression showing (-\frac{square root of 3}{2},1 over 2 )$