Trigonometry Examples

$\sqrt{3} \csc (\frac{π}{6}) + \sqrt{2} \cot (\frac{π}{4})$

Step 1

The exact value of $\csc (\frac{π}{6})$ is $2$ .

$\sqrt{3} \cdot 2 + \sqrt{2} \cot (\frac{π}{4})$

Step 2

Move $2$ to the left of $\sqrt{3}$ .

$2 \cdot \sqrt{3} + \sqrt{2} \cot (\frac{π}{4})$

Step 3

The exact value of $\cot (\frac{π}{4})$ is $1$ .

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

Step 4

Multiply $\sqrt{2}$ by $1$ .

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$4.87831517 \dots$