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

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

Find the value of cos^(-1)(x)+cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

Find the value of cos^(-1)(x)+cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

Find the value of cos^(-1)x+cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

Evaluate : cos^(-1)x+cos^(-1)[(x)/(2)+(sqrt(3-3x^(2)))/(2)]((1)/(2) le x le 1)

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

Prove that cos^(-1)(x)+ cos^(-1){(x)/(2)+sqrt(3-3x^(2))/(2)}=(pi)/(3) .

The range of f(x)=cos^(-1)((sqrt(2x^(2)+1))/(x^(2)+1)) is

lim _(x to ((1)/(sqrt2))^(+))(cos ^(-1) (2x sqrt(1- x ^(2))))/((x-(1)/(sqrt2)))- lim _(x to ((1)/(sqrt2))^(-))(cos ^(-1) (2x sqrt(1-x ^(2))))/((x- (1)/(sqrt2)))=