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Question

If y=sin1x+tan1x+sec1x, then set of values of y is

A
π2,3π4
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B
3π4,3π4
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C
π4,3π4
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D
π4,π4
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Solution

The correct option is C π4,3π4

y=sin1x+tan1x+sec1x
Domain of sin1xis1x1, of tan1xis<x< of sec1xisx1 or x1.
Domain of the function is x = {- 1, 1}
Value of y=sin1(1)+tan1(1)+sec1(1)
i.e., π2π4+π=π4
and sin1(1)+tan1(1)+sec1(1)
i.e., π2+π4+0=3π4
Hence set of values of y=π4,3π4

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