Question

find all solutions in the interval (0,2pi)
3sin(x-pi/5)=0

Answer 1

\(3sin(x-\dfrac{\pi}{5})=0\)

\(sin(x-\dfrac{\pi}{5})=\dfrac{0}{3}\)

\(sin^{-1}(sin(x-\dfrac{\pi}{5}))=sin^{-1}(\dfrac{0}{3})\)

\(x-\dfrac{\pi}{5}=sin^{-1}(\dfrac{0}{3})\)

\(x=sin^{-1}(\dfrac{0}{3})+\dfrac{\pi}{5}\)