inverse trigonometry - \theta is an acute angle. Find the value of \theta in degrees. \cot\theta = \frac{\sqrt{3}}{3}

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Note down the given information

GIVEN: \cot \theta = \frac{\sqrt{3}}{3}

Recall values of the \cot \theta from 0\degree to 90\degree

We know \cot 60\degree = \frac{1}{\sqrt{3}}

\cot 60\degree = \frac{1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}

\cot 60\degree = \frac{\sqrt{3}}{3}

\cot \theta = \cot 60\degree

\theta = 60\degree