Question

find general solution of of the equation sin x=root3/2​

Answer 1

Answer:

We know that

$sinx = sin \alpha$

then general solution is

$x = n\pi + ( - 1) {}^{n} \alpha$

now apply this in question

$sinx = \frac{ \sqrt{3} }{2} = sin \frac{\pi}{3}$

$x = n\pi + ( - 1) {}^{n} \: \frac{\pi}{3} \: ans.$