1.

1. Prove that:1-x4

Answer»

tan^-1((1-x)/(1+x))

Put x=tan A. ≈ tan^-1 x =A=tan^-1[(tan π/4-tan A)/(1- tan π/4×tan A)]

[Since,(tan A - tan B)/(1- tan A× tan B)=tan(A-B)

=tan^-1[tan(π/4-A)]

=π/4 - A

if we substitute A= π/4 - tan^-1 x


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