Grade 12 Math: Reference Angles

This worksheet focuses on understanding and calculating reference angles for various trigonometric functions in Grade 12 mathematics.

Grade 12 Math TrigonometryReference Angle

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2

Topics

trigonometryreference angleunit circleanglesgrade 12

7 sections · Free to use · Printable

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Date:

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Read each question carefully and provide the best answer. Show all your work for full credit.

1. Define what a reference angle is in your own words, and explain its significance in trigonometry.

2. What is the reference angle for 240°?

30°

60°

90°

120°

3. Determine the reference angle for an angle of 315°.

30°

45°

60°

90°

4. An angle of 150° lies in Quadrant and has a reference angle of .

5. An angle of -120° is coterminal with °, lies in Quadrant , and has a reference angle of .

6. An angle θ has a reference angle of 30°. If the terminal side of θ is in Quadrant III, what is the measure of θ?

7. Draw an angle of 480° on the coordinate plane and label its reference angle. (You do not need to use a protractor, a sketch is fine).

8. The reference angle for an angle of 7π/4 radians is π/4 radians.

True

False

9. A reference angle can be negative.

True

False