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Precalculus Examples
Step 1
Add to both sides of the equation.
Step 2
Take the inverse secant of both sides of the equation to extract from inside the secant.
Step 3
Step 3.1
The exact value of is .
Step 4
The secant function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Step 5
Subtract from .
Step 6
Step 6.1
The period of the function can be calculated using .
Step 6.2
Replace with in the formula for period.
Step 6.3
The absolute value is the distance between a number and zero. The distance between and is .
Step 6.4
Divide by .
Step 7
The period of the function is so values will repeat every radians in both directions.
, for any integer
Step 8
Consolidate the answers.
, for any integer