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Find the principal and general solution...

Find the principal and general solution of `tanx=sqrt(3)`

A

`x=npi+pi/6`

B

`x=npi+pi/3`

C

`x=npi+-pi/6`

D

`x=npi+-pi/3`

Text Solution

Verified by Experts

The correct Answer is:
B
`therefore tanx=sqrt(3)=tan60^(@)=tanpi/3`
`therefore x=pi/3`
Again, `tanx=sqrt(3)=tan(pi+pi/3)=tan(4pi)/(3)`
`x=(4pi)/(3)`
Therefore, for the equation `tanx=sqrt(3)`, principal solution is `x=pi/3` or `(4pi)/(3)`.
and general solutions is `x=npi+pi/3, n in Z` Ans.
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