Solve for x cos(x)=1/4

Problem

cos(x)=1/4

Solution

1. Identify the equation as a basic trigonometric equation of the form cos(x)=a

2. Apply the inverse cosine function to both sides to find the principal value of x

x=arccos(1/4)

3. Determine the general solution for the cosine function, which accounts for its periodicity of 2*π and its symmetry across the x-axis.

x=±arccos(1/4)+2*n*π

4. Specify the domain for the integer constant n

n∈ℤ

Final Answer

cos(x)=1/4⇒x=±arccos(1/4)+2*n*π

Want more problems? Check here!