Trigonometry Examples

$2 (- \frac{3}{5}) (\frac{\sqrt{16}}{5})$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $16$ as $4^{2}$ .

$2 (- \frac{3}{5}) \cdot \frac{\sqrt{4^{2}}}{5}$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$2 (- \frac{3}{5}) \cdot \frac{4}{5}$

$2 (- \frac{3}{5}) \cdot \frac{4}{5}$

Step 2

Multiply $2 (- \frac{3}{5})$ .

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Step 2.1

Multiply $- 1$ by $2$ .

$- 2 (\frac{3}{5}) \cdot \frac{4}{5}$

Step 2.2

Combine $- 2$ and $\frac{3}{5}$ .

$\frac{- 2 \cdot 3}{5} \cdot \frac{4}{5}$

Step 2.3

Multiply $- 2$ by $3$ .

$\frac{- 6}{5} \cdot \frac{4}{5}$

$\frac{- 6}{5} \cdot \frac{4}{5}$

Step 3

Move the negative in front of the fraction.

$- \frac{6}{5} \cdot \frac{4}{5}$

Step 4

Multiply $- \frac{6}{5} \cdot \frac{4}{5}$ .

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Step 4.1

Multiply $\frac{4}{5}$ by $\frac{6}{5}$ .

$- \frac{4 \cdot 6}{5 \cdot 5}$

Step 4.2

Multiply $4$ by $6$ .

$- \frac{24}{5 \cdot 5}$

Step 4.3

Multiply $5$ by $5$ .

$- \frac{24}{25}$

$- \frac{24}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{24}{25}$

Decimal Form:

$- 0.96$

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