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tan^2(x)

  • iochinome
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Post April 16th, 2008, 5:44 pm

hey guys, i am doing math hw and i just came accross something that is asking wether tan^2(x) = tan[(x)^2], which might be doable if i knew what tan^2 meant. anybody? thanks
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Post April 16th, 2008, 5:44 pm

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Post April 16th, 2008, 5:50 pm

I think it means tangent squared if I remember my trig. But don't count on that. I got a C in Trig.
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Post April 16th, 2008, 5:52 pm

oh so its just the same as tan(x)^2?
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Post April 16th, 2008, 5:54 pm

Yes.

tan^2(x) means take the tangent of x, and square the result.

tan(x^2) means square x, then take the tangent of the result.
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Post April 16th, 2008, 5:54 pm

The ^ usually refers to powers, so tan^2 would be tan squared.
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Post April 16th, 2008, 5:55 pm

Yep, heres another way of writing the problem out, this might help.

[tan(x)]^2 = tan([x^2])
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Post April 16th, 2008, 5:56 pm

Ah, the dark ages of trig and calculus... before mankind was enlightened in the ways of true mathematics: discrete mathematics.
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Post April 16th, 2008, 6:03 pm

so anyone wanna give a whack at it, see if its true? because i know i dont!
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Post April 16th, 2008, 6:06 pm

Ain't doing your homework for ya pal ;)

Is it really that hard to plug in a value for x and see if it holds true or not?
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Post April 16th, 2008, 6:13 pm

thats not the point of the homework though... it might be easy but im looking for a more proof-oriented look at it. plus, there is probably some number that it holds true for, so i could never swing that answer with my math teacher.
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Post April 16th, 2008, 6:19 pm

If you're trying to prove something to be false, then finding just one counterexample is usually enough proof in a situation like this. You just can't prove it to be true by an example.

But if you do need to write out a proof, then start by thinking of trig identities that you can use to rework the problem into a more obvious one.
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Post April 16th, 2008, 6:42 pm

ok thanks
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Post April 16th, 2008, 6:48 pm

I miss calculus :(
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Post April 16th, 2008, 7:12 pm

spork wrote:
Ah, the dark ages of trig and calculus... before mankind was enlightened in the ways of true mathematics: discrete mathematics.



And scientific calculators.
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Post April 16th, 2008, 8:00 pm

neksus wrote:
I miss calculus :(


I don't :( my calc teacher is giving my class tests all this week and next, practice AP test, to bad they are graded ><
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Post April 16th, 2008, 8:00 pm

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