हल कीजिए : `sin 2 x - sin 4x + sin 6x =0`.

Explanation

समीकरण को लिख सकते हैं,
`sin 6x+sin 2x - sin 4x = 0`
या `" " 2 sin 4x cos 2x - sin 4x = 0`
अर्थात् `" " sin 4x(2cos 2x-1)=0`
इसलिए `" " sin 4x = 0 " "` या `" " cos 2x=1//2`
अर्थात् `" " sin 4x =0 " "` या `" "cos 2x = cos pi//3`
अतः `" " 4x=n pi " "` या `" " 2x=2n pi pm pi//3, n in Z`
`therefore " " x=(n pi)/(4) " "` या `" " x= n pi pm (pi)/(6), n in Z`.