Simplify sin(2x)-sin(x)

Problem

sin(2*x)−sin(x)

Solution

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

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

2. Factor out the common term sin(x) from the expression.

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

Final Answer

sin(2*x)−sin(x)=sin(x)*(2*cos(x)−1)

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