Trigonometry Examples

$x = \arctan (- \frac{15}{10})$

Step 1

Simplify $\arctan (- \frac{15}{10})$ .

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Step 1.1

Cancel the common factor of $15$ and $10$ .

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Step 1.1.1

Factor $5$ out of $15$ .

$x = \arctan (- \frac{5 (3)}{10})$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $5$ out of $10$ .

$x = \arctan (- \frac{5 \cdot 3}{5 \cdot 2})$

Step 1.1.2.2

Cancel the common factor.

$x = \arctan (- \frac{5 \cdot 3}{5 \cdot 2})$

Step 1.1.2.3

Rewrite the expression.

$x = \arctan (- \frac{3}{2})$

$x = \arctan (- \frac{3}{2})$

$x = \arctan (- \frac{3}{2})$

Step 1.2

Evaluate $\arctan (- \frac{3}{2})$ .

$x = - 0.98279372$

$x = - 0.98279372$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$