Take the inversetangent of both sides of the equation to extract from inside the tangent.
Evaluate .
The tangentfunction is positive in the first and third quadrants. To find the secondsolution, add the reference angle from to find the solution in the fourth quadrant.
Simplify the expression to find the secondsolution.
Tap for more steps...
Remove the parentheses around the expression .
Add and .
Find the period.
Tap for more steps...
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
Tap for more steps...
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 both directions.
, for any integer
Consolidate the answers.
, for any integer
Do you know how to Solve for ? tan(x)=1/3? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.