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Question

Let f(x)=cot1x+cosec1x. then, f(x) is real for


A
x [-1, 1]
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B
x[ -, -1] [1, ]
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C
x [ -, ]
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D
None of these
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Solution

The correct option is B x[ -, -1] [1, ]

Since , cot1x exists for all x ϵ R and
cosec1x is real when
x1 or x 1,
f(x) is real for x ϵ (,1)(1,)


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