Solve : `cos^(-1)(1/2x^2+sqrt(1-x^2)sqrt(1-(x^2)/4))=cos^(-1)x/2-cos^(-1)xdot`

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?

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

Solve 2cos^(-1)x=sin^(-1)(2x sqrt(1-x^(2)))

Prove that cos^(-1)((sqrt(1+x)+sqrt(1-x))/(2))=(pi)/(4)-(1)/(2)cos^(-1)x

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

cos^(-1)((x^(2))/(6)+sqrt(1-(x^(2))/(9))sqrt(1-(x^(2))/(4)))=cos^(-1)((x)/(3))-cos^(-1)((x)/(2)) hold for all x belonging to

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

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

cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)