Trigonometry Examples

$\frac{5 π}{2}$

Step 1

The complement of $\frac{5 π}{2}$ is the angle that when added to $\frac{5 π}{2}$ forms a right angle ( $\frac{π}{2}$ radians).

$\frac{π}{2} - \frac{5 π}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{π - 5 π}{2}$

Step 3

Subtract $5 π$ from $π$ .

$\frac{- 4 π}{2}$

Step 4

Cancel the common factor of $- 4$ and $2$ .

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Step 4.1

Factor $2$ out of $- 4 π$ .

$\frac{2 (- 2 π)}{2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (- 2 π)}{2 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (- 2 π)}{2 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{- 2 π}{1}$

Step 4.2.4

Divide $- 2 π$ by $1$ .

$- 2 π$