1.

Prove that- tan-1 √x = (1/2) cos-1 ((1 - x)/(1 + x)).

Answer»

L.H.S. = tan-1 √x

= (1/2) (2 tan-1 √x)

= (1/2) x cos-1 ((1 - (√x)2)/(1 + (√x)2))

= (1/2) cos-1 ((1 - x)/(1 + x)) 

= R.H.S



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