Trigonometry Examples

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

Step 1

Multiply $- (- \frac{8}{17})$ .

Tap for more steps...

Step 1.1

Multiply $- 1$ by $- 1$ .

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

Step 1.2

Multiply $\frac{8}{17}$ by $1$ .

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

Step 2

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

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Add $17$ and $8$ .

$- \sqrt{\frac{\frac{25}{17}}{1 + \frac{8}{17}}}$

Step 5

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

$- \sqrt{\frac{\frac{25}{17}}{\frac{17}{17} + \frac{8}{17}}}$

Step 6

Combine the numerators over the common denominator.

$- \sqrt{\frac{\frac{25}{17}}{\frac{17 + 8}{17}}}$

Step 7

Add $17$ and $8$ .

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

Step 8

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 8.1

Reduce the expression $\frac{\frac{25}{17}}{\frac{25}{17}}$ by cancelling the common factors.

Tap for more steps...

Step 8.1.1

Cancel the common factor.

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

Step 8.1.2

Rewrite the expression.

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

Step 8.2

Rewrite the expression.

$- \sqrt{1}$

Step 9

Any root of $1$ is $1$ .

Tap for more steps...

Step 9.1

Reduce the expression $\frac{\frac{25}{17}}{\frac{25}{17}}$ by cancelling the common factors.

Tap for more steps...

Step 9.1.1

Cancel the common factor.

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

Step 9.1.2

Rewrite the expression.

$- \frac{1}{1}$

Step 9.2

Rewrite the expression.

$- 1 \cdot 1$

Step 10

Multiply $- 1$ by $1$ .

$- 1$