Trigonometry Examples

$\frac{3}{5} \cdot \frac{4}{5}$

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.

$(\frac{3}{5} \cdot \frac{4}{5}) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $\frac{3}{5} \cdot \frac{4}{5}$ .

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Step 1.2.1

Multiply $\frac{3}{5}$ by $\frac{4}{5}$ .

$\frac{3 \cdot 4}{5 \cdot 5} \cdot \frac{180}{π}$

Step 1.2.2

Multiply $3$ by $4$ .

$\frac{12}{5 \cdot 5} \cdot \frac{180}{π}$

Step 1.2.3

Multiply $5$ by $5$ .

$\frac{12}{25} \cdot \frac{180}{π}$

Step 1.3

Cancel the common factor of $5$ .

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Step 1.3.1

Factor $5$ out of $25$ .

$\frac{12}{5 (5)} \cdot \frac{180}{π}$

Step 1.3.2

Factor $5$ out of $180$ .

$\frac{12}{5 \cdot 5} \cdot \frac{5 \cdot 36}{π}$

Step 1.3.3

Cancel the common factor.

$\frac{12}{5 \cdot 5} \cdot \frac{5 \cdot 36}{π}$

Step 1.3.4

Rewrite the expression.

$\frac{12}{5} \cdot \frac{36}{π}$

Step 1.4

Multiply $\frac{12}{5}$ by $\frac{36}{π}$ .

$\frac{12 \cdot 36}{5 π}$

Step 1.5

Multiply $12$ by $36$ .

$\frac{432}{5 π}$

Step 1.6

$π$ is approximately equal to $3.14159265$ .

$\frac{432}{5 (3.14159265)}$

Step 1.7

Convert to a decimal.

$27.50197416 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3