Calculus Examples

$\cos (- \frac{4}{8})$

Step 1

Cancel the common factor of $4$ and $8$ .

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Step 1.1

Factor $4$ out of $4$ .

$\cos (- \frac{4 (1)}{8})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $8$ .

$\cos (- \frac{4 \cdot 1}{4 \cdot 2})$

Step 1.2.2

Cancel the common factor.

$\cos (- \frac{4 \cdot 1}{4 \cdot 2})$

Step 1.2.3

Rewrite the expression.

$\cos (- \frac{1}{2})$

Step 2

Since $\cos (- \frac{1}{2})$ is an even function, rewrite $\cos (- \frac{1}{2})$ as $\cos (\frac{1}{2})$ .

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Step 2.1

Factor $4$ out of $4$ .

$\cos (\frac{4 (1)}{8})$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $8$ .

$\cos (\frac{4 \cdot 1}{4 \cdot 2})$

Step 2.2.2

Cancel the common factor.

$\cos (\frac{4 \cdot 1}{4 \cdot 2})$

Step 2.2.3

Rewrite the expression.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.87758256 \dots$