Trigonometry Examples

$- \frac{2 π}{3}$

Step 1

The supplement of $- \frac{2 π}{3}$ is the angle that when added to $- \frac{2 π}{3}$ forms a straight angle ( $π$ radians).

$π - (- \frac{2 π}{3})$

Step 2

Multiply $- (- \frac{2 π}{3})$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$π + 1 \frac{2 π}{3}$

Step 2.2

Multiply $\frac{2 π}{3}$ by $1$ .

$π + \frac{2 π}{3}$

Step 3

To write $π$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$π \cdot \frac{3}{3} + \frac{2 π}{3}$

Step 4

Combine fractions.

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Step 4.1

Combine $π$ and $\frac{3}{3}$ .

$\frac{π \cdot 3}{3} + \frac{2 π}{3}$

Step 4.2

Combine the numerators over the common denominator.

$\frac{π \cdot 3 + 2 π}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Move $3$ to the left of $π$ .

$\frac{3 \cdot π + 2 π}{3}$

Step 5.2

Add $3 π$ and $2 π$ .

$\frac{5 π}{3}$