If A = [\table 1,Tanx;-Tanx,1] , let us define a function f(x) = det (A^T A^{-1}) , then the value of f(f(f(f(x))))

JEE Advanced Model Paper 1 with solutions for online practice

Question : 46 of 60

Marks: +1, -0

If A = [

1	Tanx
−Tanx	1

] , let us define a function f(x) = det (ATA−1) , then the value of f(f(f(f(x))))

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cos2x	−sin2x
sin2x	cos2x