Solve for ? tan(x)=1/3

$\tan (x) = \frac{1}{3}$

Take the inverse tangent of both sides of the equation to extract $x$ from inside the tangent.

$x = \arctan (\frac{1}{3})$

Evaluate $\arctan (\frac{1}{3})$ .

$x = 0.32175055$

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from $π$ to find the solution in the fourth quadrant.

$x = (3.14159265) + 0.32175055$

Simplify the expression to find the second solution.

Tap for more steps...

Remove the parentheses around the expression $3.14159265$ .

$x = 3.14159265 + 0.32175055$

Add $3.14159265$ and $0.32175055$ .

$x = 3.4633432$

Find the period.

Tap for more steps...

The period of the function can be calculated using $\frac{π}{| b |}$ .

$\frac{π}{| b |}$

Replace $b$ with $1$ in the formula for period.

$\frac{π}{| 1 |}$

Solve the equation.

Tap for more steps...

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$\frac{π}{1}$

Divide $π$ by $1$ .

$π$

The period of the $\tan (x)$ function is $π$ so values will repeat every $π$ radians in both directions.

$x = 0.32175055 + π n, 3.4633432 + π n$ , for any integer $n$

Consolidate the answers.

$x = 0.32175055 + π n$ , for any integer $n$

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.

Graph 4/3*cos(pi/2-4x)+1

Find the Value Using the Unit Circle csc((11pi)/6)

Graph y=2cos(x+pi/3)

Find the Range y=sin(x)*cos(x)

Solve for x 2a+2b+2d=164