Trigonometry Examples

$\frac{3 π}{5}$

Step 1

The supplement of $\frac{3 π}{5}$ is the angle that when added to $\frac{3 π}{5}$ forms a straight angle ( $π$ radians).

$π - \frac{3 π}{5}$

Step 2

To write $π$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$π \cdot \frac{5}{5} - \frac{3 π}{5}$

Step 3

Combine fractions.

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Step 3.1

Combine $π$ and $\frac{5}{5}$ .

$\frac{π \cdot 5}{5} - \frac{3 π}{5}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{π \cdot 5 - 3 π}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Move $5$ to the left of $π$ .

$\frac{5 \cdot π - 3 π}{5}$

Step 4.2

Subtract $3 π$ from $5 π$ .

$\frac{2 π}{5}$