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Solve: `tan^(3)theta-3tantheta=0`

Answer» `tan^(3)theta-3tantheta=0`
`rArr tantheta(tan^(2)theta-3)=0`
`rArr tantheta=0`
or `tan^(2)theta-3=0`
if `tantheta=0`, then `theta=npi`.
If `tan^(2)theta-3=0`, then
`tan^(2)theta=3`
`=(sqrt(3))^(2)=tan^(2)pi/3`
`rArr theta=npi+-pi/3`. Ans.


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