Trigonometry Examples

$\csc (450)$

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.

$(\csc (450)) \cdot \frac{180 °}{π}$

Step 1.2

Remove full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

$\csc (90) \cdot \frac{180}{π}$

Step 1.3

The exact value of $\csc (90)$ is $1$ .

$1 \cdot \frac{180}{π}$

Step 1.4

Multiply $\frac{180}{π}$ by $1$ .

$\frac{180}{π}$

Step 1.5

$π$ is approximately equal to $3.14159265$ .

$\frac{180}{3.14159265}$

Step 1.6

Convert to a decimal.

$57.29577951 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3