Find the Exact Value cos(arctan(( square root of 3)/3))

$\cos (\arctan (\frac{\sqrt{3}}{3}))$

Step 1

Cancel the common factor.

$\frac{3 \sqrt{3}}{2 \cdot 3}$

Step 2

Rewrite the expression.

$\frac{\sqrt{3}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$