Question

Find the general solution of each of the following equations :
(i) `sin3x=0`
(ii) `"sin"(3x)/(2)=0`
(iii) `(x+(pi)/(5))=0`
(iv) `cos2x=0`
(v) `"cos"(5x)/(2)=0`
(vi) `cos(x+(pi)/(10))=0`
(vii) `tan2x=0`
(viii) `tan(3x+(pi)/(6))=0`
(ix) `tan(2x-(pi)/(4))=0`

Answer 1

Correct Answer - (i) `(npi)/(3),ninI`
(ii) `(2npi)/(3), n in I`
(iii) `(npi-(pi)/(5)), n inI`
(iv) `(2n+1)(pi)/(4), ninI`
(v) `(2n+1)(pi)/(5), ninI`
(vi) `(npi+(2pi)/(5)), n inI`
(vii) `(npi)/(2),n inI`
(viii) `((npi)/(3),(pi)/(18)), n inI`
(ix) `((npi)/(2),(pi)/(8)), n inI`