Double Angle Identities Worksheet
Practice problems for understanding and applying double angle identities in trigonometry.
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Standards
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Double Angle Identities Practice
Name:
Date:
Score:
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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