STATEMENT-1 : The solution set for `cos^-1(cos4) > 3x^2 - 4x` is ` phi. and` STATEMENT-2 : The value of `cos^-1(cosx) = 2pi - x` for `x in (pi, 2pi).`

The solution set of inequation cos x+(1)/(2)>=0 is [-pi,pi] is

The solution set of (2cos x-1)(3+2cos x)=0 in the interval 0<=x<=2 pi is

The values of Sin^(-1)(cos{Cos^(-1)(cosx)+Sin^(-1)(sinx)})" where "x in (pi/2, pi) is

Simplify cos^-1(3/5cosx + 4/5 sin x), x in (-(2pi)/(3) , (pi)/(4))

Statement I y = tan^(-1) ( tan x) " and " y = cos^(-1) ( cos x) " does not have nay solution , if " x in (pi/2, (3pi)/2) Statement II y = tan^(-1)( tan x) = x - pi, x in (pi/2, (3pi)/2) " and " y = cos^(-1) ( cos x) = {{:(2pi - x", " x in [pi, (3pi)/2]),(" x, " x in [pi/2,pi]):}

Statement I y = tan^(-1) ( tan x) " and " y = cos^(-1) ( cos x) " does not have nay solution , if " x in (pi/2, (3pi)/2) Statement II y = tan^(-1)( tan x) = x - pi, x in (pi/2, (3pi)/2) " and " y = cos^(-1) ( cos x) = {{:(2pi - x", " x in [pi, (3pi)/2]),(" x, " x in [pi/2,pi]):}

The solution set of "sin" (x - (pi)/(4))-"cos" (x + (3 pi)/(4)) =1 " and " (2 "cos" 7x)/("cos" 3 + "sin" 3) gt 2^("cos" 2x) , is

The solution set of "sin" (x - (pi)/(4))-"cos" (x + (3 pi)/(4)) =1 " and " (2 "cos" 7x)/("cos" 3 + "sin" 3) gt 2^("cos" 2x) , is

The sum of the maximum and the minimum values of 2(cos^(-1)x)^(2)-pi cos^(-1) x+(pi^(2))/(4) is

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