Solve for x -2sin(2x)=0

Problem

−2*sin(2*x)=0

Solution

1. Divide both sides of the equation by −2 to isolate the sine function.

−2*sin(2*x)=0

sin(2*x)=0

2. Identify the values where the sine function equals zero. The sine of an angle is zero at integer multiples of π

2*x=n*π

where *n* is any integer

3. Solve for x by dividing both sides of the equation by 2

x=(n*π)/2

Final Answer

−2*sin(2*x)=0⇒x=(n*π)/2* for *n∈ℤ

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