# Solve for x one divide(cos(x)) equals eight divide three

Solve for x 1/(cos(x))=8/3
First, multiply the Initially fraction's numerator by the second fraction's denominator. Make this equal to the product of the second fraction's numerator and first fraction's denominator.
Find solution to the equation for .
Should be rewritten the equation as .
Multiply by .
First, divide each term by and simplify.
Divide each term in by .
The common factor should be canceled of .
Cancel the common factor.
Divide by .
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Evaluate .
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 .
First, multiply by .
Subtract from .
Calculate the period.
Evaluate the period of function using .
Replace with in the formula for period.
Solve 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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