Solve for x sin(x)tan(x)=sin(x)

Problem

sin(x)*tan(x)=sin(x)

Solution

1. Subtract sin(x) from both sides to set the equation to zero.

sin(x)*tan(x)−sin(x)=0

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

sin(x)*(tan(x)−1)=0

3. Apply the zero product property by setting each factor equal to zero.

sin(x)=0

tan(x)−1=0

4. Solve the first equation sin(x)=0 for x

x=n*π

5. Solve the second equation tan(x)=1 for x

x=π/4+n*π

6. Combine the solutions, where n represents any integer.

x=n*π,π/4+n*π

Final Answer

sin(x)*tan(x)=sin(x)⇒x=n*π,π/4+n*π

Want more problems? Check here!