Question: Which equation represents the double angle identity for sine?

Options:

1. sin(2x) = 2sin(x)cos(x)
2. sin(2x) = sin²(x) + cos²(x)
3. sin(2x) = sin(x) + cos(x)
4. sin(2x) = 2sin²(x)

Correct Answer: sin(2x) = 2sin(x)cos(x)

Solution:

The double angle identity for sine is sin(2x) = 2sin(x)cos(x).