Unit Circle Mastery

A Grade 11 math worksheet focused on understanding and applying the unit circle for trigonometric functions.

Grade 11 Math TrigonometryUnit Circle

Use This Worksheet

Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.9CCSS.MATH.CONTENT.HSF.TF.A.2

Topics

mathtrigonometryunit circlegrade 11

7 sections · Free to use · Printable

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Read each question carefully and provide your answers using your knowledge of the unit circle. Show all your work where applicable.

1. What is the radius of the unit circle and why is it significant?

2. Explain how the coordinates (x, y) of a point on the unit circle relate to the cosine and sine of the angle formed with the positive x-axis.

3. The cosine of 90 degrees (or π/2 radians) is .

4. The sine of 180 degrees (or π radians) is .

5. The coordinates for the angle 3π/2 radians on the unit circle are .

6. Which of the following angles has a sine value of 1/2?

π/6

π/4

π/3

π/2

7. For an angle θ in the unit circle, if cos(θ) = -√3/2 and sin(θ) = 1/2, in which quadrant does θ lie?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

8. The tangent of an angle θ on the unit circle can be found by dividing the x-coordinate by the y-coordinate.

True

False

9. The terminal side of an angle of -45 degrees is in the same position as an angle of 315 degrees on the unit circle.

True

False

10. If a point on the unit circle has coordinates (-1/2, -√3/2), what are the possible angles (in radians) that correspond to this point?