# Solve for x cos(x) equals ( square root of three) First, divide two

Solve for x cos(x)=( square root of 3)/2
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
The exact value of is .
The 1st and 4th quadrants of the cosine function are positive. To calculate the second answer, subtract the reference angle from to find the solution in the fourth quadrant.
Clarify .
To write as a fraction with a common denominator, First, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply by .
Add numerators over the common denominator.
Clarify the numerator.
Multiply by .
Subtract from .
Calculate the period.
Evaluate the period of function using .
Replace with in the formula for period.
Find solution to the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every radians in two directions at once.
, for any integer
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