Trigonometry Examples

$- \frac{3}{5}$

Step 1

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

$(- \frac{3}{5}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$\frac{- 3}{5} \cdot \frac{180}{π}$

Step 2.2

Factor $5$ out of $180$ .

$\frac{- 3}{5} \cdot \frac{5 (36)}{π}$

Step 2.3

Cancel the common factor.

$\frac{- 3}{5} \cdot \frac{5 \cdot 36}{π}$

Step 2.4

Rewrite the expression.

$- 3 \cdot \frac{36}{π}$

Step 3

Combine $- 3$ and $\frac{36}{π}$ .

$\frac{- 3 \cdot 36}{π}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 3$ by $36$ .

$\frac{- 108}{π}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{108}{π}$

Step 5

$π$ is approximately equal to $3.14159265$ .

$- \frac{108}{3.14159265}$

Step 6

Convert to a decimal.

$- 34.3774677 °$