Solve for x sin(x)-1=0

Problem

sin(x)−1=0

Solution

1. Isolate the trigonometric function by adding 1 to both sides of the equation.

sin(x)=1

2. Identify the values of x on the unit circle where the sine (the y-coordinate) is equal to 1

x=π/2

3. Determine the general solution by adding the period of the sine function, which is 2*π*k for any integer k

x=π/2+2*π*k

Final Answer

sin(x)−1=0⇒x=π/2+2*π*k

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