Trigonometry Examples

v \frac{1 - \frac{5}{13}}{2}

$v \frac{1 - \frac{5}{13}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Write

1

$1$ as a fraction with a common denominator.

v \frac{\frac{13}{13} - \frac{5}{13}}{2}

$v \frac{\frac{13}{13} - \frac{5}{13}}{2}$

Step 1.2

Combine the numerators over the common denominator.

v \frac{\frac{13 - 5}{13}}{2}

$v \frac{\frac{13 - 5}{13}}{2}$

Step 1.3

Subtract

5

$5$ from

13

$13$ .

v \frac{\frac{8}{13}}{2}

$v \frac{\frac{8}{13}}{2}$

v \frac{\frac{8}{13}}{2}

$v \frac{\frac{8}{13}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

v (\frac{8}{13} \cdot \frac{1}{2})

$v (\frac{8}{13} \cdot \frac{1}{2})$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

8

$8$ .

v (\frac{2 (4)}{13} \cdot \frac{1}{2})

$v (\frac{2 (4)}{13} \cdot \frac{1}{2})$

Step 3.2

Cancel the common factor.

$v (\frac{2 \cdot 4}{13} \cdot \frac{1}{2})$

Step 3.3

Rewrite the expression.

$v \frac{4}{13}$

Step 4

Combine

$v$ and

$\frac{4}{13}$ .

$\frac{v \cdot 4}{13}$

Step 5

Move

$4$ to the left of

$v$ .

$\frac{4 v}{13}$