Let a signal a1 sin (ω1 t + φ1) be applied to

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Let a signal a₁ sin (ω₁ t + φ₁) be applied to a stable linear time - i nvariant system. Let the corresponding steady state output be represented as a₂F (ω₂ t + φ₂). Then which of the following statements is true?

1. F is not necessarily a “sine” or “cosine” function but must be periodic with ω₁ = ω₂
2. F must be a “sine” or “cosine” function with a₁ = a₂
3. F must be a “sine” function with ω₁ = ω₂ and φ₁ = φ₂
4. F must be a “sine” or “cosine” function with ω₁ = ω₂

Correct Option: D

NA