Calculus Examples

$- \cos (\frac{π}{4}) + \sin (\frac{π}{4})$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\cos (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$- \frac{\sqrt{2}}{2} + \sin (\frac{π}{4})$

Step 1.2

The exact value of $\sin (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$- \frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{- \sqrt{2} + \sqrt{2}}{2}$

Step 2.2

Add $- \sqrt{2}$ and $\sqrt{2}$ .

$\frac{0}{2}$

Step 2.3

Divide $0$ by $2$ .

$0$