Trigonometry Examples

$41 \cdot \frac{4}{60}$

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.

$(41 \cdot \frac{4}{60}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $4$ and $60$ .

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Step 1.2.1

Factor $4$ out of $4$ .

$41 \cdot \frac{4 (1)}{60} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $4$ out of $60$ .

$41 \cdot \frac{4 \cdot 1}{4 \cdot 15} \cdot \frac{180}{π}$

Step 1.2.2.2

Cancel the common factor.

$41 \cdot \frac{4 \cdot 1}{4 \cdot 15} \cdot \frac{180}{π}$

Step 1.2.2.3

Rewrite the expression.

$41 \cdot \frac{1}{15} \cdot \frac{180}{π}$

Step 1.3

Combine $41$ and $\frac{1}{15}$ .

$\frac{41}{15} \cdot \frac{180}{π}$

Step 1.4

Cancel the common factor of $15$ .

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Step 1.4.1

Factor $15$ out of $180$ .

$\frac{41}{15} \cdot \frac{15 (12)}{π}$

Step 1.4.2

Cancel the common factor.

$\frac{41}{15} \cdot \frac{15 \cdot 12}{π}$

Step 1.4.3

Rewrite the expression.

$41 \cdot \frac{12}{π}$

Step 1.5

Combine $41$ and $\frac{12}{π}$ .

$\frac{41 \cdot 12}{π}$

Step 1.6

Multiply $41$ by $12$ .

$\frac{492}{π}$

Step 1.7

$π$ is approximately equal to $3.14159265$ .

$\frac{492}{3.14159265}$

Step 1.8

Convert to a decimal.

$156.608464 °$

Step 2

The angle is in the second quadrant.

Quadrant $2$

Step 3