Trigonometry Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- (- \frac{1}{2})$ .

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Step 1.1.1

Multiply $- 1$ by $- 1$ .

$v \frac{1 + 1 (\frac{1}{2})}{2}$

Step 1.1.2

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

$v \frac{1 + \frac{1}{2}}{2}$

Step 1.2

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

$v \frac{\frac{2}{2} + \frac{1}{2}}{2}$

Step 1.3

Combine the numerators over the common denominator.

$v \frac{\frac{2 + 1}{2}}{2}$

Step 1.4

Add $2$ and $1$ .

$v \frac{\frac{3}{2}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$v (\frac{3}{2} \cdot \frac{1}{2})$

Step 3

Multiply $\frac{3}{2} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{3}{2}$ by $\frac{1}{2}$ .

$v \frac{3}{2 \cdot 2}$

Step 3.2

Multiply $2$ by $2$ .

$v \frac{3}{4}$

Step 4

Combine $v$ and $\frac{3}{4}$ .

$\frac{v \cdot 3}{4}$

Step 5

Move $3$ to the left of $v$ .

$\frac{3 v}{4}$