Double Angle Identities Worksheet
Practice problems for understanding and applying double angle identities in trigonometry.
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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Date:
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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)?
a
2sinθ
b
2cosθ
c
2sinθcosθ
d
sin²θ - cos²θ
2. If cosθ = 3/5 and θ is in Quadrant I, what is cos(2θ)?
a
7/25
b
1/25
c
18/25
d
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.
T
True
F
False