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Question

If sin1(1x)2sin1x=π/2, then x is equals ?

A
{0,1/2}
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B
{1/2,0}
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C
{0}
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D
(1,0)
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Solution

The correct option is B {0}
sin1(1x)2sin1(x)=π2sin1(1x)=π2+2sin1(x)1x=sin(π2+2sin1(x))1x=cos(2sin1(x))sin1x=αx=sinα1x=cos(2α)1x=12sin2α1x=12x22x2x=0x=0,12x=12
Do not satisfy the equation, x=0

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