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Finite Math Examples
Step 1
Set equal to .
Step 2
Step 2.1
Set the numerator equal to zero.
Step 2.2
Solve the equation for .
Step 2.2.1
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Step 2.2.2
Simplify the right side.
Step 2.2.2.1
The exact value of is .
Step 2.2.3
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.
Step 2.2.4
Add and .
Step 2.2.5
Find the period of .
Step 2.2.5.1
The period of the function can be calculated using .
Step 2.2.5.2
Replace with in the formula for period.
Step 2.2.5.3
The absolute value is the distance between a number and zero. The distance between and is .
Step 2.2.5.4
Divide by .
Step 2.2.6
The period of the function is so values will repeat every radians in both directions.
, for any integer
, for any integer
Step 2.3
Consolidate the answers.
, for any integer
, for any integer
Step 3