Trigonometry Examples

$f (x) = \frac{- \sin (\frac{π}{2}) + (\frac{π}{2}) \cos (\frac{π}{2}) - \sin (\frac{π}{2})}{1 - \cos (\frac{π}{2})}$

Step 1

Factor $\frac{1}{2}$ out of each term.

$f (x) = \frac{\frac{1}{2} \cdot (- 2 + (π) \cos (\frac{π}{2}) - 2)}{1 - \cos (\frac{π}{2})}$

Step 2

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$f (x) = \frac{\frac{1}{2} \cdot (- 2 + (π) \cos (\frac{π}{2}) - 2)}{1 - 0}$

Step 3

Multiply $- 1$ by $0$ .

$f (x) = \frac{\frac{1}{2} \cdot (- 2 + (π) \cos (\frac{π}{2}) - 2)}{1 + 0}$

Step 4

Add $1$ and $0$ .

$f (x) = \frac{\frac{1}{2} \cdot (- 2 + (π) \cos (\frac{π}{2}) - 2)}{1}$

Step 5

Divide $\frac{1}{2} (- 2 + (π) \cos (\frac{π}{2}) - 2)$ by $1$ .

$f (x) = \frac{1}{2} \cdot (- 2 + (π) \cos (\frac{π}{2}) - 2)$