Double Angle Identities Worksheet

Practice problems for understanding and applying double angle identities in trigonometry.

Grade 10 Math TrigonometryDouble Angle Identities

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.9

Topics

TrigonometryDouble AngleIdentitiesMathGrade 10

6 sections · Free to use · Printable

Double Angle Identities Practice

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Read each question carefully and use your knowledge of double angle identities to solve them. Show all your work for full credit.

1. Which of the following is equivalent to sin(2θ)?

2sinθ

2cosθ

2sinθcosθ

sin²θ - cos²θ

2. If cosθ = 3/5 and θ is in Quadrant I, what is cos(2θ)?

7/25

1/25

18/25

24/25

3. The identity for tan(2θ) can be written as .

4. If sinθ = 1/2, then cos(2θ) = .

5. Simplify the expression: cos²x - sin²x.

6. Given that sinθ = 4/5 and θ is in Quadrant II, find sin(2θ).

7. The identity for cos(2θ) is always 2cos²θ - 1.

True

False

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