Prove the following statement:

[Naeem]

Q. Prove whether or not the following functions are linearly independent.

1. sin^2x ( "sine squared x")

2. cos^2x ("cosine squared x")

3. cos2x

Please any help is greatly appreciated on these parts:

[Hurkyl]

Please read the guidelines for posting homework help questions.

http://www.physicsforums.com/showthread.php?t=4825

You must have had a thought on this problem already -- surely you know, say, the definition, or a relevant theorem?


P.S. it's customary to put some sort of punctuation between a trig function and its argument. You probably wanted to say cos 2x or cos(2x), not cos2x, and cos^2 x, not cos^2x.