60 Let fθ=sinθsinθ+sin3θ then; A fθ≥0 only when θ≥0 - Maths - Relations and Functions

Question

60   L e t   f θ = sin θ sin θ + sin 3
θ   t h e n ;       A   f θ
≥ 0   o n l y   w h e n   θ ≥ 0
                 
                 
        B   f θ ≤ 0   f o
r   a l l   r e a l   θ       C
  f θ ≥ 0   f o r   a l l   r e a l
  θ              
                 
                 
      D   f θ ≤ 0   o n l y
  w h e n   θ ≤ 0

Shruti Tyagi · Accepted Answer

Dear Student,

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https://www meritnation
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60 . L e t f θ = sin θ sin θ + sin 3 θ t h e n ; A f θ ≥ 0 o n l y w h e n θ ≥ 0 B f θ ≤ 0 f o r a l l r e a l θ C f θ ≥ 0 f o r a l l r e a l θ D f θ ≤ 0 o n l y w h e n θ ≤ 0

$60 . L e t f (θ) = \sin θ (\sin θ + \sin 3 θ) t h e n; (A) f (θ) \geq 0 o n l y w h e n θ \geq 0 (B) f (θ) \leq 0 f o r a l l r e a l θ (C) f (θ) \geq 0 f o r a l l r e a l θ (D) f (θ) \leq 0 o n l y w h e n θ \leq 0$