Precalculus Examples

$\frac{6}{i}$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\frac{6}{i}) \cdot \frac{180 °}{π}$

Step 2

Multiply the numerator and denominator of $\frac{6}{i}$ by the conjugate of $i$ to make the denominator real.

$\frac{6}{i} \cdot \frac{i}{i} \cdot \frac{180}{π}$

Step 3

Multiply.

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Step 3.1

Combine.

$\frac{6 i}{i i} \cdot \frac{180}{π}$

Step 3.2

Simplify the denominator.

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Step 3.2.1

Raise $i$ to the power of $1$ .

$\frac{6 i}{i^{1} i} \cdot \frac{180}{π}$

Step 3.2.2

Raise $i$ to the power of $1$ .

$\frac{6 i}{i^{1} i^{1}} \cdot \frac{180}{π}$

Step 3.2.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6 i}{i^{1 + 1}} \cdot \frac{180}{π}$

Step 3.2.4

Add $1$ and $1$ .

$\frac{6 i}{i^{2}} \cdot \frac{180}{π}$

Step 3.2.5

Rewrite $i^{2}$ as $- 1$ .

$\frac{6 i}{- 1} \cdot \frac{180}{π}$

Step 4

Move the negative one from the denominator of $\frac{6 i}{- 1}$ .

$- 1 \cdot (6 i) \cdot \frac{180}{π}$

Step 5

Rewrite $- 1 \cdot (6 i)$ as $- (6 i)$ .

$- (6 i) \cdot \frac{180}{π}$

Step 6

Multiply $6$ by $- 1$ .

$- 6 i \cdot \frac{180}{π}$

Step 7

Multiply $- 6 i \frac{180}{π}$ .

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Step 7.1

Combine $\frac{180}{π}$ and $- 6$ .

$\frac{180 \cdot - 6}{π} i$

Step 7.2

Multiply $180$ by $- 6$ .

$\frac{- 1080}{π} i$

Step 7.3

Combine $\frac{- 1080}{π}$ and $i$ .

$\frac{- 1080 i}{π}$

Step 8

Move the negative in front of the fraction.

$- \frac{1080 i}{π}$

Step 9

$π$ is approximately equal to $3.14159265$ .

$- \frac{1080 i}{3.14159265}$

Step 10

Convert to a decimal.