Calculus Examples

$\sec (\frac{π}{3}) \tan (\frac{π}{3}) + 2 \sin (\frac{π}{3})$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\sec (\frac{π}{3})$ is $2$ .

$2 \tan (\frac{π}{3}) + 2 \sin (\frac{π}{3})$

Step 1.2

The exact value of $\tan (\frac{π}{3})$ is $\sqrt{3}$ .

$2 \sqrt{3} + 2 \sin (\frac{π}{3})$

Step 1.3

The exact value of $\sin (\frac{π}{3})$ is $\frac{\sqrt{3}}{2}$ .

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

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Cancel the common factor.

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

Step 1.4.2

Rewrite the expression.

$2 \sqrt{3} + \sqrt{3}$

Step 2

Add $2 \sqrt{3}$ and $\sqrt{3}$ .

$3 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{3}$

Decimal Form:

$5.19615242 \dots$