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Question
Evaluate the following:
`\text(cosec)^-1(-2/sqrt3)+2cot^-1(-1)`
Solution
`\text(cosec)^-1(-2/sqrt3)+2cot^-1(-1)=\text(cosec)^-1[\text(cosec)-pi/3)]+2cot^-1[cot((3pi)/4)]`
`=-pi/3+2xx(3pi)/4`
`=-pi/3+(3pi)/2`
`=(7pi)/6`
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