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Trigonometry Examples
Step 1
Step 1.1
Move the negative in front of the fraction.
Step 1.2
Multiply .
Step 1.2.1
Multiply by .
Step 1.2.2
Multiply by .
Step 2
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Step 3
Step 3.1
Evaluate .
Step 4
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 5
Step 5.1
Remove parentheses.
Step 5.2
Remove parentheses.
Step 5.3
Add and .
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 and to .
, for any integer