The number of real solutions of the equation
(-x(=-((--(-
lying in the interval is . (Here, the inverse trigonometric functions and assume values in and , respectively.)

Question

The number of real solutions of the equation ^ -1 ( _ i=1 ^ x^ i+1 -x _ i=1 ^ ( x 2 )^i )= 2 - ^ -1 ( _ i=1 ^ (- x 2 )^i- _ i=1 ^ (-x)^i ) lying in the interval (- 1 2 , 1 2 ) is _____. (Here, the inverse trigonometric functions ^ -1 x and ^ -1 x assume values in [- 2 , 2 ] and [0, ], respectively.)

Accepted Answer

2

JEE Advanced 2018 Mathematics question

Solution

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