Grade 12 Math Worksheet: Double Angle Identities

Double Angle Identities Worksheet

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)?

2. Which of the following is equivalent to (2 tan(x)) / (1 - tan²(x))?

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