[cos^(-1)(2x-1)=],[(a)2cos^(-1)x]

If cos^(-1)(2x^(2)-1)=2 pi-2cos^(-1)x, then

Express in terms of : cos^(-1)(2x^(2)-1) to cos^(-1)x for -1lexlt0

Express in terms of : cos^(-1)(2x^(2)-1) to cos^(-1)x for -1lexlt0

Prove that i) cos^(-1)(1-2x^(2))=2sin^(-1)x ii) cos^(-1)(2x^(2)-1)=2cos^(-1)x . iii) sec^(-1)(1/(2x^(2)-1)=2cos^(-1)x iv) cot^(-1)(sqrt(1-x^(2))-x)=pi/2-1/2cot^(-1)x .

Solve equation "cos"^(-1)(x+1/2)+"cos"^(-1)x

Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2

cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^(-1)x

cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^(-1)x

Prove that cos^(-1){(1+x)/(2)}=(cos^(-1)x)/(2)

cos^(-1){1/2x^(2)+sqrt(1-x^(2))sqrt(1-(x^(2))/(4))}=cos^(-1)((x)/(2))-cos^(-1)x holds for what values of x?