Trigonometry Examples

$- \sqrt{\frac{1 - (\frac{8}{17})}{1 + \frac{8}{17}}}$

Step 1

Write $1$ as a fraction with a common denominator.

$- \sqrt{\frac{\frac{17}{17} - \frac{8}{17}}{1 + \frac{8}{17}}}$

Step 2

Combine the numerators over the common denominator.

$- \sqrt{\frac{\frac{17 - 8}{17}}{1 + \frac{8}{17}}}$

Step 3

Subtract $8$ from $17$ .

$- \sqrt{\frac{\frac{9}{17}}{1 + \frac{8}{17}}}$

Step 4

Write $1$ as a fraction with a common denominator.

$- \sqrt{\frac{\frac{9}{17}}{\frac{17}{17} + \frac{8}{17}}}$

Step 5

Combine the numerators over the common denominator.

$- \sqrt{\frac{\frac{9}{17}}{\frac{17 + 8}{17}}}$

Step 6

Add $17$ and $8$ .

$- \sqrt{\frac{\frac{9}{17}}{\frac{25}{17}}}$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$- \sqrt{\frac{9}{17} \cdot \frac{17}{25}}$

Step 8

Cancel the common factor of $17$ .

Tap for more steps...

Step 8.1

Cancel the common factor.

$- \sqrt{\frac{9}{17} \cdot \frac{17}{25}}$

Step 8.2

Rewrite the expression.

$- \sqrt{9 (\frac{1}{25})}$

Step 9

Combine $9$ and $\frac{1}{25}$ .

$- \sqrt{\frac{9}{25}}$

Step 10

Rewrite $\sqrt{\frac{9}{25}}$ as $\frac{\sqrt{9}}{\sqrt{25}}$ .

$- \frac{\sqrt{9}}{\sqrt{25}}$

Step 11

Simplify the numerator.

Tap for more steps...

Step 11.1

Rewrite $9$ as $3^{2}$ .

$- \frac{\sqrt{3^{2}}}{\sqrt{25}}$

Step 11.2

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

$- \frac{3}{\sqrt{25}}$

Step 12

Simplify the denominator.

Tap for more steps...

Step 12.1

Rewrite $25$ as $5^{2}$ .

$- \frac{3}{\sqrt{5^{2}}}$

Step 12.2

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

$- \frac{3}{5}$

Step 13

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{5}$

Decimal Form:

$- 0.6$