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For the principal values, evaluate each of the following: `tan^(-1)sqrt(3)-sec^(-1)(-2)+cos e c^(-1)2/(sqrt(3))` `2sec^(-1)(2)-2cos e c^(-1)(-2)`

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`tan ^{-1} sqrt{3}-sec ^{-1}(-2) `
`=frac{pi}{3}- (frac{2 pi}{3}) `
`=frac{pi-2 pi}{3} `
`=frac{-pi}{3}`
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