Answer:
yes they are linearly independent
Step-by-step explanation:
By definition of linear dependence we have if f(x) and g(x) be 2 functions
if they are linearly dependent then we can write
f(x) = αg(x)...........(i) where α is an arbitrary constant
in our case we can see that the range of sin(x) is only from [-1,+1] while as [tex]e^{x}[/tex] has range from [0,∞]
thus we cannot find any value of α for which (i) is valid
