NDA Maths Mock Test – 01 – Q7

The function f : R → R is defined by f(x) = sin⁴ x – sin² x + 1, then R(f) =

• ( 3/4 , 1 ]
• ( 3/4 , 1 )
• [ 3/4 , 1 )
• [ 3/4 , 1 ]

fx) = sin? x +1 – sin 2 x
‘ f(z) =sin*z —sinz +3 -1+1
. 2
i f(z) = (sin’ 2 – 3) + 2
i (sin? z— 1) >0
1 Minimum √alue of f(x) = 3/4 1
i 0 So, maximum √alue of f(x) = (1 — 1) 24 3
=1+3
1 IR
=1
‘ R(f) =3/4,1 i
hon a
8
b)9:1
.
1