Trigonometry Examples

$\frac{5 π}{2}$

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.

$(\frac{5 π}{2}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $5 π$ .

$\frac{π \cdot 5}{2} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 5}{2} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{5}{2} \cdot 180$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $180$ .

$\frac{5}{2} \cdot (2 (90))$

Step 1.3.2

Cancel the common factor.

$\frac{5}{2} \cdot (2 \cdot 90)$

Step 1.3.3

Rewrite the expression.

$5 \cdot 90$

Step 1.4

Multiply $5$ by $90$ .

$450$

Step 1.5

Convert to a decimal.

$450 °$

Step 2

For angles greater than $360 °$ , subtract $360 °$ from the angle until the angle is less than $360 °$ .

$90$

Step 3

The angle is between the first and second quadrant.

Between Quadrant $1$ and $2$

Step 4