Trigonometry Examples

$\cos (arccsc (5))$

Step 1

Raise $5$ to the power of $2$ .

$\frac{\sqrt{25 - 1}}{5}$

Step 2

Subtract $1$ from $25$ .

$\frac{\sqrt{24}}{5}$

Step 3

Rewrite $24$ as $2^{2} \cdot 6$ .

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Step 3.1

Factor $4$ out of $24$ .

$\frac{\sqrt{4 (6)}}{5}$

Step 3.2

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt{2^{2} \cdot 6}}{5}$

$\frac{\sqrt{2^{2} \cdot 6}}{5}$

Step 4

Pull terms out from under the radical.

$\frac{2 \sqrt{6}}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2 \sqrt{6}}{5}$

Decimal Form:

$0.97979589 \dots$

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