Trigonometry Examples

$\frac{3 π}{4}$

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.

$(\frac{3 π}{4}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $3 π$ .

$\frac{π \cdot 3}{4} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 3}{4} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{4} \cdot 180$

Step 1.3

Cancel the common factor of $4$ .

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Step 1.3.1

Factor $4$ out of $180$ .

$\frac{3}{4} \cdot (4 (45))$

Step 1.3.2

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 45)$

Step 1.3.3

Rewrite the expression.

$3 \cdot 45$

Step 1.4

Multiply $3$ by $45$ .

$135$

Step 1.5

Convert to a decimal.

$135 °$

Step 2

The angle is in the second quadrant.

Quadrant $2$

Step 3