Statement 1: let `f(x)=2tan^(-1)((1-x)/(1+x))` on `[0,1]` then range of `f = [0,pi/2]` Statement 2: `f` decreases from `pi/4` to `0`

Statement 1: Let f(x)=sin(cos x) in [0,(pi)/(2)]* Then f(x) is decreasing in [0,(pi)/(2)] Statement 2:cos x is a decreasing function AA x in[0,(pi)/(2)]

Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2] . Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2] . Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

Statement 1: Let f(x)=sin(cos x)in[0,pi/2]dot Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

If f(x)=(sin^(-1)x+tan^(-1)x)/(pi)+2sqrt(x), then the range of f(x) is

Statement 1: f(x)=(cos^(-1)x)^(2)+(pi)/2sin^(-1)x then Range of f(x) is [(3pi^(2))/16,3/4pi^(2)] Statement 2: If f(x)=ax^(2)+bx+c and if x_(1)lt(-b)/(2a)ltx_(2) then Range of f(x) in the interval [x_(1),x_(2)] is ["min"{f(x_(1)),f(x_(2)),f(-b/(2a))},"max"{f(x_(1)),f(x_(2)),f(-b/(2a))}]

Let f(x)=cos^(-1)((x^2)/(1+x^2)) . The range of f is a) [0,pi/2] b) [-pi/2,pi/2] c) [-pi/2,0] d)None of these

Statement-1 f(x)=(sin x)/(x) lt 1 for 0 lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)

Statement 1 : If x in [1, sqrt(3)] then the range of f(x)=tan^(-1)x is [pi//4, pi//3] . Statement 2 : If x in [1, b] then the range of f(x) is [f(a), f(b)]

Statement-2 f(x)=(sin x)/(x) lt 1 for lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)