Trigonometry Examples

$- 2 \cos (\frac{π}{4})$

Step 1

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

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{\sqrt{2}}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot - 1 \frac{\sqrt{2}}{2}$

Step 2.3

Rewrite the expression.

$- 1 \sqrt{2}$

Step 3

Rewrite $- 1 \sqrt{2}$ as $- \sqrt{2}$ .

$- \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{2}$

Decimal Form:

$- 1.41421356 \dots$