Solve 2x=arccos(1/sqrt{2})

$$2 x = \arccos ( \frac { 1 } { \sqrt { 2 } } )$$

Solve for x

$$x=\frac{\pi }{8}\approx 0.392699082$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$2x=\arccos(\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}})$$

The square of \sqrt{2} is 2.

$$2x=\arccos(\frac{\sqrt{2}}{2})$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\pi }{2\times 4}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\pi }{2\times 4}$$

Divide \frac{\pi }{4} by 2.

$$x=\frac{\pi }{8}$$