If f(x) `=cos^(-1)x+cos^(-1){(x/2+1/2sqrt(3-3x^(2)))}`
then `f(2/3)` equals

If f(x)=cos^(-1)x+cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then

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

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

In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range of f(x) is [pi/3,(10pi)/3]] Range of f(x) is [pi/3,5pi] f(x) is one-one for x in [-1,1/2] f(x) is one-one for x in [1/2,1]

If 1/2lexle1 then Cos^(-1)x+Cos^(-1)(x/2+1/2sqrt(3-3x^(2)))=

In function f(x)=cos^(-1)x+cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2)), then Range of f(x) is [(pi)/(3),(10 pi)/(3)]] Range of f(x) is [(pi)/(3),5 pi]f(x) is one-one for x in[-1,(1)/(2)]f(x) is one-one for x in[(1)/(2),1]

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

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

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