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Let f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-...

Let `f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-1)x)/(tan^(-1)x)+(tan^(-1)x)/(sec^(-1)x)+(sec^(-1)x)/(cosec^(-1)x)+(cosec^(-1)x)/(cot^(-1)x)+(cot^(-1)x)/(sin^(-1)x)`. Then which of the following statements holds good?

A

Minimum value of f(x) is 6.

B

`f(x)` is a continous function.

C

`f(-1)=(-107)/(12)`

D

`f(x)` is non-derivable at `x=-1`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
`f(x)` is defined for `x=-1` only and `f(-1)=-(107)/(12)`
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