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Q.

The number of solutions of the equation sin-1x=2tan-1x, (in principal values) is:

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a

2

b

1

c

3

d

4

answer is A.

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Detailed Solution

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sin-1x=2tan-1x,
sin-1x=sin-12x1+x2

x=2x1+x2

x2+1x-2x=0

x=0,x2-1=0⇒x=0,x=±1

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