Solve for x 4cos(x-1)^2=0

Problem

4*cos2(x−1)=0

Solution

1. Divide both sides of the equation by 4 to isolate the squared trigonometric term.

cos2(x−1)=0

2. Take the square root of both sides to simplify the equation.

cos(x−1)=0

3. Identify the values where the cosine function equals zero. The cosine function is zero at odd multiples of π/2

x−1=π/2+n*π

4. Solve for x by adding 1 to both sides of the equation, where n is any integer.

x=1+π/2+n*π

Final Answer

x=1+π/2+n*π

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