Trigonometry Examples

$\frac{161}{289}$

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.

$(\frac{161}{289}) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(\frac{161}{289}) \frac{180}{π}$ .

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Step 1.2.1

Multiply $\frac{161}{289}$ by $\frac{180}{π}$ .

$\frac{161 \cdot 180}{289 π}$

Step 1.2.2

Multiply $161$ by $180$ .

$\frac{28980}{289 π}$

Step 1.3

$π$ is approximately equal to $3.14159265$ .

$\frac{28980}{289 (3.14159265)}$

Step 1.4

Convert to a decimal.

$31.91910208 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3