Precalculus Examples

$\arctan (x) = \frac{45}{30}$

Step 1

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

$x = \tan (\frac{45}{30})$

Step 2

Simplify the right side.

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Step 2.1

Simplify $\tan (\frac{45}{30})$ .

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Step 2.1.1

Cancel the common factor of $45$ and $30$ .

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Step 2.1.1.1

Factor $15$ out of $45$ .

$x = \tan (\frac{15 (3)}{30})$

Step 2.1.1.2

Cancel the common factors.

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Step 2.1.1.2.1

Factor $15$ out of $30$ .

$x = \tan (\frac{15 \cdot 3}{15 \cdot 2})$

Step 2.1.1.2.2

Cancel the common factor.

$x = \tan (\frac{15 \cdot 3}{15 \cdot 2})$

Step 2.1.1.2.3

Rewrite the expression.

$x = \tan (\frac{3}{2})$

Step 2.1.2

Evaluate $\tan (\frac{3}{2})$ .

$x = 14.10141994$