Grade 12 Math Worksheet: Double Angle Identities
This worksheet focuses on applying double angle identities to simplify trigonometric expressions and solve equations for Grade 12 students.
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Double Angle Identities Worksheet
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Read each question carefully and use your knowledge of double angle identities to solve them. 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. Simplify the expression: 2 sin(3x) cos(3x)
2. Simplify the expression: cos²(5θ) - sin²(5θ)
3. Simplify the expression: 1 - 2 sin²(4x)
1. If sin(x) = 3/5 and x is in Quadrant I, what is the value of sin(2x)?
24/25
7/25
4/5
1
2. Which of the following is equivalent to (2 tan(x)) / (1 - tan²(x))?
sin(2x)
cos(2x)
tan(2x)
cot(2x)
1. Solve the equation for x in the interval [0, 2π): sin(2x) - sin(x) = 0
2. Solve the equation for x in the interval [0, 2π): cos(2x) + cos(x) = 0