If sin(2x) = 2sin(x)cos(x), what is the double angle formula for sine?
Correct Answer: sin(2x) = 2sin(x)cos(x)
- Step 1: Understand what sin(2x) means. It represents the sine of double the angle x.
- Step 2: Recognize that the equation given is sin(2x) = 2sin(x)cos(x).
- Step 3: Identify that this equation is a formula that relates sin(2x) to sin(x) and cos(x).
- Step 4: Conclude that this equation is known as the double angle formula for sine.
- Double Angle Formula – The double angle formula for sine expresses sin(2x) in terms of sin(x) and cos(x).
