1.

Range of the function `f(x)=cos^(-1)x+2cot^(-1)x+3cosec^(-1)x` is equal toA. `[pi,2pi]`B. `{pi,2pi}`C. `{2pi,3pi}`D. `[2pi,3pi]`

Answer» Correct Answer - B
Domain is `{-1,1}`
`becausef(-1)=pi+(3pi)/(2)-(3pi)/(2)=pi`
`f(1)=0+(pi)/(2)+(3pi)/(2)=2pi`
Range is `{pi,2pi}`


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