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cos^(-1)(1-2x^(2))...

cos^(-1)(1-2x^(2))

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If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then x=

cos^(-1)((1-x^(2))/(1+x^(2)))

int cos^(-1)((1-x^(2))/(1+x^(2)))dx

sin{tan^(-1)[(1-x^(2))/(2x)]+cos^(-1)[(1-x^(2))/(1+x^(2))]}=

sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

The formula "cos"^(-1)(1-x^(2))/(1+x^(2))=2tan^(-1)x holds only for :

d/dx [cos^(-1)((1-x^(2))/(1+x^(2)))] at x = -1/sqrt2 .

Prove the following: 2tan^(-1)x=cos^(-1)((1-x^(2))/(1+x^(2))),xge0

The formula "cos"^(-1)(1-x^(2))/(1+x^(2))=2tan^(-1)x holds only for :