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Find the principal value of tan^−1(−√/3).

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asked Jan 13, 2018 in Mathematics by sforrest072 (157,439 points) ● 63 ● 448 ● 1273
edited Mar 6, 2018 by faiz

Find the principal value of tan−1(−√/3).

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answered Jan 13, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 22
edited Mar 6, 2018 by faiz
 
Best answer

Let tan-1(-√3)=y, then tany=-√3=-tanπ/3=tan(-π/3)

We know that the range of the principal value branch of tan−1 is (-π/2,π/2) and  tan(-π/3)=-√3

Therefore, the principal value of tan-1(-√3) is -π/3.

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