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Maths Questions ^_^

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Collin Li:

--- Quote from: Odette on April 24, 2008, 10:50:25 pm ---ahh thanks ! i didnt know 1 + tan ^2 x = sec ^2 x (i'm new to this lolz)

--- End quote ---

It comes from , and dividing both sides by . :)


--- Quote from: Odette on April 24, 2008, 10:50:25 pm ---Oh another question i was a little confused about:
 sin ( pi/2 - x) [secx - cosx]

P.S i dont know how to use latex or whatever its called.
--- End quote ---

You can simplify into . This can be shown geometrically by drawing any right-angled triangle with an angle . The other angle must be , since a triangle has angles adding up to . I've only briefly outlined this, so if you don't get it, ask about it.

This should now yield:

LaTeX is pretty straightforward. Here are some links, give it a go - you learn best by experimenting:
http://vcenotes.com/forum/index.php/topic,864.0.html
http://www.artofproblemsolving.com/LaTeX/AoPS_L_GuideSym.php

Odette:
Ah does that have anything to do with the sine and cosine graphs being similar except one is moved to the right pi/2 units? (i dunno something the lecturer mentioned today)

And thanks again ^_^ I appreciate it

Collin Li:

--- Quote from: Odette on April 24, 2008, 11:18:23 pm ---Ah does that have anything to do with the sine and cosine graphs being similar except one is moved to the right pi/2 units? (i dunno something the lecturer mentioned today)

--- End quote ---

Yeah, that's another way you can think of it. You should try the right-angled triangle method though, it's rather nice.

Odette:

--- Quote from: coblin on April 24, 2008, 11:21:31 pm ---
--- Quote from: Odette on April 24, 2008, 11:18:23 pm ---Ah does that have anything to do with the sine and cosine graphs being similar except one is moved to the right pi/2 units? (i dunno something the lecturer mentioned today)

--- End quote ---

Yeah, that's another way you can think of it. You should try the right-angled triangle method though, it's rather nice.

--- End quote ---

Ok, um any link for that one? I've never heard of that method, so i'm not too sure what you're talking about.

Odette:
Ah never mind i did some research and found out what you were talking about :)
Thanks again coblin =) it's pretty straight forward now. Oh and i'll practice using LaTeX from now on :)

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