Let a signal a1 sin ( 1 t + 1) be applied to an astable LTI system. The corresponding output is a2 F sin ( 2 t + 2). Then which of the following is correct?

F must be a sine function with 1 = 2 and 1 = 2

F is not necessarily a sine or cosine function but must be periodic with 1= 2

F must be a sine or cosine function with a1 = a2

F must be a sine function with 1= 2 and 1 = 2

F must be a sine or cosine function with 1= 2

Let a signal a1 sin ( 1 t + 1) be applied to an astable LTI system. T

1.	Let a signal a1 sin ( ₁ t + ₁) be applied to an astable LTI system. The corresponding output is a₂ F sin ( ₂ t + ₂). Then which of the following is correct?
A.	F is not necessarily a sine or cosine function but must be periodic with <sub>1</sub>= <sub>2</sub>
B.	F must be a sine or cosine function with a<sub>1</sub> = a<sub>2</sub>
C.	F must be a sine function with <sub>1</sub>= <sub>2</sub> and <sub>1</sub> = <sub>2</sub>
D.	F must be a sine or cosine function with <sub>1</sub>= <sub>2</sub>
Answer» C. F must be a sine function with <sub>1</sub>= <sub>2</sub> and <sub>1</sub> = <sub>2</sub>