Question

Determine the value of theta if sec theta= -2/root 3 fir 0<=V<=360

Answer 1

`\sec(\theta )=-\cfrac{2}{√(3)}\implies \cos(\theta )=-\cfrac{√(3)}{2} \\\\\\ \theta =\cos^(-1)\left( -\cfrac{√(3)}{2} \right)\implies \theta = \begin{cases} (5\pi )/(6)~~,~~150^o\\\\ (7\pi )/(6)~~,~~210^o \end{cases}`