Trigonometry Examples

$v (\frac{1 - \frac{- 2 \sqrt{30}}{11}}{2})$

Step 1

Simplify the numerator.

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Step 1.1

Move the negative in front of the fraction.

$v \frac{1 - - \frac{2 \sqrt{30}}{11}}{2}$

Step 1.2

Multiply $- - \frac{2 \sqrt{30}}{11}$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$v \frac{1 + 1 \frac{2 \sqrt{30}}{11}}{2}$

Step 1.2.2

Multiply $\frac{2 \sqrt{30}}{11}$ by $1$ .

$v \frac{1 + \frac{2 \sqrt{30}}{11}}{2}$

Step 1.3

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

$v \frac{\frac{11}{11} + \frac{2 \sqrt{30}}{11}}{2}$

Step 1.4

Combine the numerators over the common denominator.

$v \frac{\frac{11 + 2 \sqrt{30}}{11}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$v (\frac{11 + 2 \sqrt{30}}{11} \cdot \frac{1}{2})$

Step 3

Multiply $\frac{11 + 2 \sqrt{30}}{11} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{11 + 2 \sqrt{30}}{11}$ by $\frac{1}{2}$ .

$v \frac{11 + 2 \sqrt{30}}{11 \cdot 2}$

Step 3.2

Multiply $11$ by $2$ .

$v \frac{11 + 2 \sqrt{30}}{22}$

Step 4

Combine $v$ and $\frac{11 + 2 \sqrt{30}}{22}$ .

$\frac{v (11 + 2 \sqrt{30})}{22}$