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Evaluate each of the following:tan-1(tan \(\frac{6\pi}7\)) |
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Answer» Tan\(\frac{6\pi}7\) can be written as tan\((\pi-\frac{\pi}7)\) tan\((\pi-\frac{\pi}7)\) = –tan\(\frac{\pi}7\) ∴ As, tan–1(tan x) = x Provided x ϵ \((\frac{-\pi}2,\frac{\pi}2)\) tan –1(tan\(\frac{6\pi}7\)) = –\(\frac{\pi}7\) |
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