Solve for x sin(x)(sin(x)+1)=0

Problem

sin(x)*(sin(x)+1)=0

Solution

1. Apply the Zero Product Property by setting each factor of the equation equal to zero.

sin(x)=0

sin(x)+1=0

2. Solve the first equation for x by identifying where the sine function equals zero on the unit circle.

sin(x)=0

x=n*π

(where n is any integer)

3. Isolate the sine function in the second equation by subtracting 1 from both sides.

sin(x)=−1

4. Solve the second equation for x by identifying where the sine function equals −1 on the unit circle.

x=(3*π)/2+2*n*π

(where n is any integer)

5. Combine the solutions into a general form representing all possible values of x

Final Answer

sin(x)*(sin(x)+1)=0⇒x=n*π,(3*π)/2+2*n*π

Want more problems? Check here!