Precalculus Examples

$\cos (3 \arctan (\frac{2}{4}))$

Step 1

Cancel the common factor of $2$ and $4$ .

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Step 1.1

Factor $2$ out of $2$ .

$\cos (3 \arctan (\frac{2 (1)}{4}))$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $4$ .

$\cos (3 \arctan (\frac{2 \cdot 1}{2 \cdot 2}))$

Step 1.2.2

Cancel the common factor.

$\cos (3 \arctan (\frac{2 \cdot 1}{2 \cdot 2}))$

Step 1.2.3

Rewrite the expression.

$\cos (3 \arctan (\frac{1}{2}))$

$\cos (3 \arctan (\frac{1}{2}))$

$\cos (3 \arctan (\frac{1}{2}))$

Step 2

Evaluate $\arctan (\frac{1}{2})$ .

$\cos (3 \cdot 0.4636476)$

Step 3

Multiply $3$ by $0.4636476$ .

$\cos (1.39094282)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\cos (3 \arctan (\frac{2}{4}))$

Decimal Form:

$0.17888543 \dots$

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