find the principal value of tan-1( -√3) + tan-1 (1)
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Let tan−1(−1)=θ
⇒tanθ=−1
⇒tanθ=tan4π
tanθ=tan(−4π)⇒θ=−4π
⇒tan−1=−4π
∴ Principal value of tan−1(−1) is −4π.
[∴−4π∈(−2π,2π)rangeoftheprincipalvaluebranchoftan−1functionandtan(4π=−1)]
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