Simplify sin(2x)-cos(x)

Problem

sin(2*x)−cos(x)

Solution

1. Apply the double angle identity for the sine function, which states that sin(2*x)=2*sin(x)*cos(x)

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

2. Identify the common factor in both terms of the expression, which is cos(x)

Common factor=cos(x)

3. Factor out the common term cos(x) from the expression.

2*sin(x)*cos(x)−cos(x)=cos(x)*(2*sin(x)−1)

Final Answer

sin(2*x)−cos(x)=cos(x)*(2*sin(x)−1)

Want more problems? Check here!