Question

If $\cos \theta =\frac{1}{2}$, then find the value of acute angle $\theta$.

Answer 1

Given, $\cos \theta =\frac{1}{2}$ ....(i)
But $\cos {60}^o=\frac{1}{2}$ ....(ii)
From equation (i) and (ii), we have
$\cos \theta =\cos {60}^o$
$\therefore \theta ={60}^o$