Question

if tan(3alpha) = tan(alpha)
then find compressive value of alpha...

Answer 1

Solution:-

$\tan( 3 \alpha ) = \tan( \alpha ) \\ \tan( 3 \alpha ) = \tan(n\pi + \alpha ) \\ 3 \alpha = n\pi + \alpha \\ 3 \alpha - \alpha = n\pi \\ \alpha = \frac{n\pi}{2} \\ the \: compressive \: value \: of \: \alpha = \frac{n\pi}{2} \\ ans$