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Find the range of `f(x)=|3tan^(-1)x-cos^(-1)(0)|-cos^(-1)(-1)dot` |
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Answer» `f(x) = |3 tan^(-1) x - cos^(-1) (0)| - cos^(-1) (-1)` `= |3 tan^(-1) x - (pi//2)| - pi` Now, `-(pi)/(2) lt tan^(-1) x lt(pi)/(2)` or `-(3pi)/(2) lt 3 tan^(-1) x lt (3pi)/(2)` or `-2pi lt 3 tan^(-1) x-(pi)/(2) lt pi` or `0 le |3 tan^(-1) x -(pi)/(2)| lt 2pi` or `-pi |3 tan^(-1) x -(pi)/(2)| - pi lt pi` |
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