Let f( ) = ( ^ -1 ( 2 ) ), where - 4 < < 4 . Then the value of d d( ) (f( ) ) is

JEE Advanced 2011 Mathematics question

Let , where . Then the value of

(f(θ))

Answer: 1

Let ; then (sin φ has the same sign as tan φ for φ in ). Since

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Question ID VK-025943