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Draw the graph of y=cot^(-1)x+sec^(-1)x+...

Draw the graph of `y=cot^(-1)x+sec^(-1)x+cosec^(-1)x`.

Text Solution

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We have ` y=f(x)=cot^(-1)x+sec^(-1)+x+cosec^(-1)`
`=cot^(-1)x+(pi)/(2)`
Clearly, the domain of the function is `(-oo,01)]uu[1,oo)`
Therefore, to draw the graph of the function, we shift the graph of `y=cot^(-1)x,('pi')/(2)` units upward for `x in(-oo,-1]uu[1,oo)`
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