# Solve for x sec(x plus eighty minus one) equals two

Solve for x sec(x+81)=2
Take the inverse secant of both sides of the equation to extract from inside the secant.
The exact value of is .
Subtract from both sides of the equation.
The secant function is positive in the Initially and fourth quadrants. To calculate the second answer, subtract the reference angle from to find the solution in the fourth quadrant.
Clarify the expression To calculate the second answer.
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 .
Subtract from both sides of the equation.
Add to until the angle falls between and . In such a case, needs to be added times.
Simplify.
First, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .