Question

Find general solution of the following equations:
$\cos \left(\frac{3\theta }{2}\right)=0$ ?

Answer 1

$\cos \left(\frac{3\theta }{2}\right)=0$

$\cos \left(\frac{3\theta }{2}\right)=\cos \pi /2$

$⟹\frac{3\theta }{2}=2n\pi \pm \frac{\pi }{2}3\theta =4n\pi \pm \pi \theta =\frac{4}{3}n\pi \pm \frac{\pi }{3}$