Grade 11 Math: Double Angle Identities Worksheet
Practice worksheet for Grade 11 students on solving problems using double angle trigonometric identities.
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Double Angle Identities Practice
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Read each question carefully and provide your answers using the appropriate double angle identities. Show all your work.
1. The double angle identity for sin(2θ) is .
2. One form of the double angle identity for cos(2θ) is .
3. The double angle identity for tan(2θ) is .
1. If sin(θ) = 3/5 and θ is in Quadrant I, find the exact value of sin(2θ).
2. If cos(θ) = -12/13 and θ is in Quadrant II, find the exact value of cos(2θ).
1. Which of the following is equivalent to 2sin(5x)cos(5x)?
sin(10x)
cos(10x)
tan(10x)
sin(25x)
2. If tan(θ) = 1, then tan(2θ) is:
0
1
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-1
1. Verify the identity: sin(2θ) / (1 - cos(2θ)) = cot(θ).