Trigonometry Examples

$\frac{2 (\frac{24}{7})}{1 - {(\frac{24}{7})}^{2}}$

Step 1

Combine $2$ and $\frac{24}{7}$ .

$\frac{\frac{2 \cdot 24}{7}}{1 - {(\frac{24}{7})}^{2}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Apply the product rule to $\frac{24}{7}$ .

$\frac{\frac{2 \cdot 24}{7}}{1 - \frac{24^{2}}{7^{2}}}$

Step 2.2

Raise $24$ to the power of $2$ .

$\frac{\frac{2 \cdot 24}{7}}{1 - \frac{576}{7^{2}}}$

Step 2.3

Raise $7$ to the power of $2$ .

$\frac{\frac{2 \cdot 24}{7}}{1 - \frac{576}{49}}$

Step 2.4

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

$\frac{\frac{2 \cdot 24}{7}}{\frac{49}{49} - \frac{576}{49}}$

Step 2.5

Combine the numerators over the common denominator.

$\frac{\frac{2 \cdot 24}{7}}{\frac{49 - 576}{49}}$

Step 2.6

Subtract $576$ from $49$ .

$\frac{\frac{2 \cdot 24}{7}}{\frac{- 527}{49}}$

Step 2.7

Move the negative in front of the fraction.

$\frac{\frac{2 \cdot 24}{7}}{- \frac{527}{49}}$

Step 3

Multiply $2$ by $24$ .

$\frac{\frac{48}{7}}{- \frac{527}{49}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{48}{7} (- \frac{49}{527})$

Step 5

Cancel the common factor of $7$ .

Tap for more steps...

Step 5.1

Move the leading negative in $- \frac{49}{527}$ into the numerator.

$\frac{48}{7} \cdot \frac{- 49}{527}$

Step 5.2

Factor $7$ out of $- 49$ .

$\frac{48}{7} \cdot \frac{7 (- 7)}{527}$

Step 5.3

Cancel the common factor.

$\frac{48}{7} \cdot \frac{7 \cdot - 7}{527}$

Step 5.4

Rewrite the expression.

$48 (\frac{- 7}{527})$

Step 6

Combine $48$ and $\frac{- 7}{527}$ .

$\frac{48 \cdot - 7}{527}$

Step 7

Simplify the expression.

Tap for more steps...

Step 7.1

Multiply $48$ by $- 7$ .

$\frac{- 336}{527}$

Step 7.2

Move the negative in front of the fraction.

$- \frac{336}{527}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{336}{527}$

Decimal Form:

$- 0.63757115 \dots$