Trigonometry Examples

$\frac{3}{5}$

Step 1

Convert the radian measure to degrees.

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Step 1.1

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 1.2

Cancel the common factor of $5$ .

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Step 1.2.1

Factor $5$ out of $180$ .

$\frac{3}{5} \cdot \frac{5 (36)}{π}$

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$3 \cdot \frac{36}{π}$

Step 1.3

Combine $3$ and $\frac{36}{π}$ .

$\frac{3 \cdot 36}{π}$

Step 1.4

Multiply $3$ by $36$ .

$\frac{108}{π}$

Step 1.5

$π$ is approximately equal to $3.14159265$ .

$\frac{108}{3.14159265}$

Step 1.6

Convert to a decimal.

$34.3774677 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3