Question

are the set of functions sin^2(x), cos^2(x), 4 linearly independent?

Answer 1

do you know what linear independence means?

Answer 2

graph them and then make your answer from the graph

Answer 3

\[c_1\sin^2x + c_2\cos^2x + c_34 = 0\] for any c != 0

Answer 4

@mastermindkakashi what should i look for in the graph?

Answer 5

see if they touch or not

Answer 6

@iamheretohelp c1,c1,c3 are real numbers right?

Answer 7

think about the identity sin^2(x)+cos^2(x)=1

Answer 8

think about setting c1 and c2 so you can use that identity