Trigonometry Examples

$\cos (2 x) = - \sqrt{\frac{2}{2}}$

Step 1

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

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Step 1.1

Divide $2$ by $2$ .

$\cos (2 x) = - \sqrt{1}$

Step 1.2

Any root of $1$ is $1$ .

$\cos (2 x) = - 1 \cdot 1$

Step 1.3

Multiply $- 1$ by $1$ .

$\cos (2 x) = - 1$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{π}{2} + π n$ , for any integer $n$

Step 3