Solve for x sin(2x)=2sin(x)cos(x)

Problem

sin(2*x)=2*sin(x)*cos(x)

Solution

1. Identify the expression as the double angle identity for the sine function.

2. Recall the trigonometric identity which states that the sine of twice an angle is equal to two times the product of the sine and cosine of that angle.

3. Verify that the equation is an identity, meaning it is true for all values of x where the functions are defined.

Final Answer

sin(2*x)=2*sin(x)*cos(x)

Want more problems? Check here!