Find the Exact Value csc(45 degrees )cot(30 degrees )

$\csc (45 °) \cot (30 °)$

Step 1

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

$\sqrt{2} \cot (30 °)$

Step 2

The exact value of $\cot (30 °)$ 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:

$2.44948974 \dots$