Solve for x 2cos(x-1)^2=0

Problem

2*cos(x−1)=0

Solution

1. Divide both sides of the equation by 2 to isolate the squared term.

2*cos(x−1)=0

cos(x−1)=0

2. Take the square root of both sides to isolate the cosine function.

√(,cos(x−1))=√(,0)

cos(x−1)=0

3. Identify the values where the cosine function equals zero. The cosine of an angle is zero at π/2 plus any integer multiple of π

x−1=π/2+n*π

4. Solve for x by adding 1 to both sides of the equation.

x=1+π/2+n*π

Final Answer

x=1+π/2+n*π

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