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.
Includes
Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False
Standards
CCSS.MATH.CONTENT.HSF.TF.C.9
Topics
trigonometrydouble anglehalf angleidentitiesgrade 11math
7 sections · Free to use · Printable
Double and Half Angle Identities
Name:
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)?
a
2sinθ
b
2sinθcosθ
c
cos²θ - sin²θ
d
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.
T
True
F
False
1. Use a half-angle identity to find the exact value of tan(π/8).