Solve for x sin(3theta)=-1

Problem

sin(3*θ)=−1

Solution

1. Identify the general solution for the sine function when it equals −1 The sine of an angle is −1 when the angle is equivalent to (3*π)/2 radians.

2. Set up the equation for the argument 3*θ by including the periodic constant 2*π*k where k is any integer.

3*θ=(3*π)/2+2*π*k

3. Isolate the variable θ by dividing every term in the equation by 3

θ=(3*π)/2/3+(2*π*k)/3

4. Simplify the resulting fraction to find the general solution for θ

θ=π/2+(2*π*k)/3

Final Answer

θ=π/2+(2*π*k)/3

Want more problems? Check here!