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Question
`tan^(-1) sqrt3 - sec^(-1)(-2)` is equal to ______.
Options
π
`-pi/3`
`pi/3`
`(2pi)/3`
Solution
`tan^(-1) sqrt3 - sec^(-1)(-2)` is equal to `-pi/3`.
Explanation:
Let y `= "tan"^ -1 sqrt3 - "sec"^-1 (-2)`
`= pi/3 - (pi - pi/3)`
`= pi/3 - (2pi)/3`
`= - pi/3`
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