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Evaluate of the following:tan-1(tan 2) |
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Answer» As, tan-1(tan x) = x Provided x ∈ \((\frac{-\pi}2,\frac{\pi}2)\) Here our x is 2 which does not belong to our range We know tan (π - θ) = -tan(θ) \(\therefore\) tan (θ - π) = tan(θ) \(\therefore\) tan (2 - π) = tan(2) Now 2 - π is in the given range \(\therefore\) tan-1(tan 2) = 2 - π |
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