Precalculus Examples

$\csc (45) \tan (60)$

Step 1

The exact value of $\csc (45)$ is $\sqrt{2}$ .

$\sqrt{2} \tan (60)$

Step 2

The exact value of $\tan (60)$ is $\sqrt{3}$ .

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

Step 3

Combine using the product rule for radicals.

$\sqrt{2 \cdot 3}$

Step 4

Multiply $2$ by $3$ .

$\sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{6}$

Decimal Form:

$2.44948974 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$