Trigonometry Examples

$v (\frac{1 - \frac{15}{300}}{2})$

Step 1

Simplify the numerator.

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Step 1.1

Cancel the common factor of $15$ and $300$ .

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Step 1.1.1

Factor $15$ out of $15$ .

$v \frac{1 - \frac{15 (1)}{300}}{2}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $15$ out of $300$ .

$v \frac{1 - \frac{15 \cdot 1}{15 \cdot 20}}{2}$

Step 1.1.2.2

Cancel the common factor.

$v \frac{1 - \frac{15 \cdot 1}{15 \cdot 20}}{2}$

Step 1.1.2.3

Rewrite the expression.

$v \frac{1 - \frac{1}{20}}{2}$

Step 1.2

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

$v \frac{\frac{20}{20} - \frac{1}{20}}{2}$

Step 1.3

Combine the numerators over the common denominator.

$v \frac{\frac{20 - 1}{20}}{2}$

Step 1.4

Subtract $1$ from $20$ .

$v \frac{\frac{19}{20}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$v (\frac{19}{20} \cdot \frac{1}{2})$

Step 3

Multiply $\frac{19}{20} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{19}{20}$ by $\frac{1}{2}$ .

$v \frac{19}{20 \cdot 2}$

Step 3.2

Multiply $20$ by $2$ .

$v \frac{19}{40}$

Step 4

Combine $v$ and $\frac{19}{40}$ .

$\frac{v \cdot 19}{40}$

Step 5

Move $19$ to the left of $v$ .

$\frac{19 v}{40}$