Solve for x square root of 2cos(x)-1=0

Problem

√(,2*cos(x)−1)=0

Solution

1. Isolate the expression inside the square root by squaring both sides of the equation.

√(,2*cos(x)−1)2=0

2*cos(x)−1=0

2. Solve for cos(x) by adding 1 to both sides and then dividing by 2

2*cos(x)=1

cos(x)=1/2

3. Determine the general solution for x by identifying the angles where the cosine value is 1/2

x=±π/3+2*n*π

Final Answer

√(,2*cos(x)−1)=0⇒x=±π/3+2*n*π

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