Solve xarctan(1/sqrt{3})=

$$x \arctan ( \frac{ 1 }{ \sqrt{ 3 } } ) =$$

Evaluate

$$\frac{\pi x}{6}$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$x\arctan(\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}})$$

The square of \sqrt{3} is 3.

$$x\arctan(\frac{\sqrt{3}}{3})$$

Differentiate w.r.t. x

$$\frac{\pi}{6} = 0.5235987755982988$$