1.

Find the general solutions of the following equations:`tan2theta=0`(ii) `tan(theta/2)=0`(iii) `tan(3theta)/(4)=0`

Answer» (i) `tan 2theta = 0`
`=>tan 2theta = tan 0`
`=>2theta = npi+0`
`=> theta = (npi)/2`
(ii)`tan (theta/2) = 0`
`=>tan (theta/2) = tan 0`
`=>(theta/2) = npi+0`
`=> theta = 2npi`
(iii)`tan ((3theta)/4) = 0`
`=>tan ((3theta)/4) = tan 0`
`=>((3theta)/4) = npi+0`
`=> theta = (4npi)/3`


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