Trigonometry Examples

$v \frac{1 - \frac{119}{169}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

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

$v \frac{\frac{169}{169} - \frac{119}{169}}{2}$

Step 1.2

Combine the numerators over the common denominator.

$v \frac{\frac{169 - 119}{169}}{2}$

Step 1.3

Subtract $119$ from $169$ .

$v \frac{\frac{50}{169}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$v (\frac{50}{169} \cdot \frac{1}{2})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $50$ .

$v (\frac{2 (25)}{169} \cdot \frac{1}{2})$

Step 3.2

Cancel the common factor.

$v (\frac{2 \cdot 25}{169} \cdot \frac{1}{2})$

Step 3.3

Rewrite the expression.

$v \frac{25}{169}$

Step 4

Combine $v$ and $\frac{25}{169}$ .

$\frac{v \cdot 25}{169}$

Step 5

Move $25$ to the left of $v$ .

$\frac{25 v}{169}$