सिद्ध कीजिए `cos^(-1) (-x)=pi-cos^(-1) x, x in [-1,1]`

Is cos^(-1) (-x) = pi - cos^(-1) x , x in [-1,1] ?

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is

If 0

Let cos^(-1)(4x^(3)-3x)=a+b cos^(-1)x If x in[-(1)/(2),-1], then a+b pi=

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

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , then

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , then

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))

If sin^(-1)x-cos^(-1)x=(pi)/(6) then x=