Find the principal solution of tan x =√3.
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Step-by-step explanation:
tanx=
3
We know,
tan
3
π
=
3
tan
3
4π
=tan(π+
3
π
)=tan
3
π
=
3
Therefore, the principal solutions are x=
3
π
,
3
4π
.
Now,
tanx=tan
3
π
x=nπ+
3
π
, where n∈Z
Therefore, the general solution is
x=nπ+
3
π
, where n∈Z
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