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Question
Evaluate: `tan^-1 sqrt(3) - sec^-1(-2)`.
Solution
`tan^-1 sqrt(3) - sec^-1(-2) = tan^-1 sqrt(3) - [pi - sec^-1 2]`
= `pi/3 - pi + cos^-1(1/2)`
= `- (2pi)/3 + pi/3`
= `- pi/3`.
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