/sci/ - Science & Math

Got a task here. Gotta prove that vectors 1, sinx, cosx, sin2x, cos2x create a basis in the linear shell over these vectors (set of all the linear combinations of them).

Now it basically comes down to proving their linear independence.

What's the easiest way? Calculating Grammian seems like an overkill.

How can you prove that sin2x is independent of sinx, cosx, cos2x?

>>7934635
i hate this meme

>>7917907
>>7917378
don't let >>7917370 meme you, literally everything in that post is made up

why did the janitors kill the philosophy containment thread?

>Can the Universe lose track of what it's doing and break it's own rules?
>>7133617

>What does /sci/ think, are there other living creatures out there or are we it for the whole universe.
>>7133318

>What is the set of all sets?
>>7130979

>how many of you /sci/entists believe in God?
>>7135055

>mfw just realized humanity's biggest problem is aging.
>>7132754

>nostradamus was right
>>7135199

>What is love /sci/
>>7127202

>What Neuroscience will tell us about Moral Responsibility
>>7135430

also
>stupid questions that don't deserve their own thread thread?
>>7133383

>an integer <span class="math">n \in \mathbb{N}[/spoiler]
>an integer
><span class="math">\mathbb{N}[/spoiler]

>>6398330
>I THINK
is it not common knowledge..?