Correct Option: A

Given x(t) = sin	t	+ cos	t
	4		8

Where, sin t/4 → x₁(t)
cos t/8 → x₂(t)
Fundamental period of

x1(t)= T1 =	2π	= 8π
	1
	4

Fundamental period of

x2(t)= T2 =	2π	= 16π
	1
	8

The period of signal x(t) is given as

	T1	=	8π	= 0·5
	T2		16π

or T₁ = 0·5
T₂ = 8π
Hence, alternative (C) is the correct choice.