Trigonometry Examples

$\frac{a^{2}}{b^{2}} = \frac{248}{558}$

Step 1

Subtract $\frac{248}{558}$ from both sides of the equation.

$\frac{a^{2}}{b^{2}} - \frac{248}{558} = 0$

Step 2

Cancel the common factor of $248$ and $558$ .

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Step 2.1

Factor $62$ out of $248$ .

$\frac{a^{2}}{b^{2}} - \frac{62 (4)}{558} = 0$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $62$ out of $558$ .

$\frac{a^{2}}{b^{2}} - \frac{62 \cdot 4}{62 \cdot 9} = 0$

Step 2.2.2

Cancel the common factor.

$\frac{a^{2}}{b^{2}} - \frac{62 \cdot 4}{62 \cdot 9} = 0$

Step 2.2.3

Rewrite the expression.

$\frac{a^{2}}{b^{2}} - \frac{4}{9} = 0$

Step 3

Set the denominator in $\frac{a^{2}}{b^{2}}$ equal to $0$ to find where the expression is undefined.

$b^{2} = 0$

Step 4

Solve for $a$ .

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Step 4.1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$b = \pm \sqrt{0}$

Step 4.2

Simplify $\pm \sqrt{0}$ .

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Step 4.2.1

Rewrite $0$ as $0^{2}$ .

$b = \pm \sqrt{0^{2}}$

Step 4.2.2

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

$b = \pm 0$

Step 4.2.3

Plus or minus $0$ is $0$ .

$b = 0$

Step 5

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$a = 0$

Step 6