Calculus Examples

$lim_{x \to 0} \frac{\cos ((\frac{π}{2} + h) - \cos (\frac{π}{2}))}{h}$

Step 1

Evaluate the limit of $\frac{\cos ((\frac{π}{2} + h) - \cos (\frac{π}{2}))}{h}$ which is constant as $x$ approaches $0$ .

$\frac{\cos ((\frac{π}{2} + h) - \cos (\frac{π}{2}))}{h}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

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

$\frac{\cos (\frac{π}{2} + h - 0)}{h}$

Step 2.1.2

Multiply $- 1$ by $0$ .

$\frac{\cos (\frac{π}{2} + h + 0)}{h}$

Step 2.2

Add $\frac{π}{2} + h$ and $0$ .

$\frac{\cos (\frac{π}{2} + h)}{h}$