Solve for x sin(x)=-1

Problem

sin(x)=−1

Solution

1. Identify the values on the unit circle where the sine function, which represents the y-coordinate, is equal to −1

2. Determine the primary angle in the interval [0,2*π) that satisfies the equation, which is x=(3*π)/2

3. Generalize the solution to include all possible rotations by adding integer multiples of the period of the sine function, which is 2*π

4. Express the final solution using an integer n to represent any whole number of full rotations.

Final Answer

sin(x)=−1⇒x=(3*π)/2+2*n*π,n∈ℤ

Want more problems? Check here!