Trigonometry Examples

$y = \tan (\frac{1}{2} x)$

Step 1

Rewrite the equation as $\tan (\frac{1}{2} x) = y$ .

$\tan (\frac{1}{2} x) = y$

Step 2

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

$\frac{1}{2} x = \arctan (y)$

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} = \arctan (y)$

Step 4

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \arctan (y)$

Step 5

Simplify the left side.

Tap for more steps...

Step 5.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.1.1

Cancel the common factor.

$2 \frac{x}{2} = 2 \arctan (y)$

Step 5.1.2

Rewrite the expression.

$x = 2 \arctan (y)$