Q Prove that : 12tan-1x = cos-11+1+x221+x2 - Maths - Inverse Trigonometric Functions

Question

Q Prove that :

1 2 tan - 1 x   =   cos - 1 1 + 1 + x 2 2 1 + x 2

Neha Sethi · Accepted Answer

Dear student

Identity used:1+tan2x=sec2xcos2x=2cos2x-1 Regards

Q. Prove that : 1 2 tan - 1 x = cos - 1 1 + 1 + x 2 2 1 + x 2