Question

Find the general solution of the following equation. sin thetha=1/2

Answer 1

sinθ= 1/2

then sinθ=$\pi /6$

so,the general solution will be: n$\pi$ +(or) - (-1)^n $\pi /6$

Answer 2

$\sin(x) = \frac{1}{2}$
$we know \: \sin( \frac{\pi}{6} ) = \frac{1}{2}$
$therefore \: \sin(x) = \sin( \frac{\pi}{6} )$
$we know \: \: \sin(x) = \sin( \alpha ) so \: x = n\pi + { - 1}^{n} \alpha$