Trigonometry Examples

$32 (\frac{1}{2} + \frac{\sqrt{3}}{2})$

Step 1

Combine the numerators over the common denominator.

$32 \frac{1 + \sqrt{3}}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $32$ .

$2 (16) \frac{1 + \sqrt{3}}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot 16 \frac{1 + \sqrt{3}}{2}$

Step 2.3

Rewrite the expression.

$16 (1 + \sqrt{3})$

Step 3

Apply the distributive property.

$16 \cdot 1 + 16 \sqrt{3}$

Step 4

Multiply $16$ by $1$ .

$16 + 16 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$16 + 16 \sqrt{3}$

Decimal Form:

$43.71281292 \dots$