Double and Half Angle Identities Worksheet
Explore and apply double and half angle identities in trigonometry with this comprehensive Grade 11 worksheet, featuring various question types.
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Double and Half Angle Identities
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is equivalent to sin(2θ)?
2sinθ
2sinθcosθ
cos²θ - sin²θ
sinθcosθ
1. The double angle identity for cosine can be written as cos(2θ) = .
2. One form of the half-angle identity for sine is sin(θ/2) = .
1. If cosθ = 3/5 and θ is in Quadrant I, find sin(2θ).
1. The identity tan(2θ) = (2tanθ)/(1 - tan²θ) is only valid when tanθ ≠ ±1.
True
False
1. Use a half-angle identity to find the exact value of tan(π/8).
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