E x p l a i n : 4 π 3 i s o n e s u c h v a l u e o f x f o r w h i c h sin x = - 3 2 . O n e m a y t a k e a n y o t h e r v a l u e o f x f o r w h i c h sin x = - 3 2 . T h e s o l u t i o n s o b t a i n e d w i l l b e t h e s a m e a l t h o u g h t h e s e m a y a p p a r e n t l y l o o k d i f f e r e n t . Share with your friends Share 0 Aarushi Mishra answered this sin x=-32=sin 4π3sin x=sin 4π3Using general solutionx=nπ+-1n4π3For n=,,,,-1,0,1,2,3...x=.., -7π3, 4π3, -π3, 10π3,5π3 .. The note says you may take any other value instead of 4π3. It will give you the same resultLet's trysin x=-32=sin -π3sin x=sin -π3General solutionx=nπ+-1n-π3x=nπ+-1n+1π3For n=,,,,-1,0,1,2,...x=.., -2π3, -π3, 4π3, 5π3, ..You see it will eventually give the same solutions for different values of n 0 View Full Answer