

Gradient of a line
#1
Posted 17 April 2006 - 07:59 PM
iv tried it heaps of times bt i just end up with lots of stuff n get cofused! please help! x
#2
Posted 17 April 2006 - 08:50 PM
stick all coords into gadient formula,
expand each trig expression using the addition formulae (be very careful to keep the y1, x1 bits in brackets as the minus will affect signs),
simplify using exact values,
simplify trig parts,
simplify further if required.
Which bit is causing you the most bother?
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#3
Posted 17 April 2006 - 08:57 PM
#4
Posted 17 April 2006 - 09:05 PM
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#5
Posted 17 April 2006 - 09:13 PM
#6
Posted 17 April 2006 - 09:18 PM
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#7
Posted 17 April 2006 - 09:20 PM
#8
Posted 17 April 2006 - 09:23 PM
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#9
Posted 17 April 2006 - 09:29 PM
The thing to watch here is signs when you use the trig expansions. I get to:

If you collect together like terms and simplify, you should get

#10
Posted 17 April 2006 - 09:32 PM
After expanding all four expressions you should find that two cancel on both top and bottom lines to leave you with -2sinxsin30 over -2cosxsin30. You even don't need to use exact values as the -2's and sin30's cancel top & bottm to leave sinx/cosx = tanx.
Thanks Steve! I need to find out how to do the LaTeX stuff! Any tips?
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#11
Posted 17 April 2006 - 09:34 PM
#12
Posted 17 April 2006 - 09:43 PM
Also, MathType can do the same sort of thing (if you have that). You have to go to Preferences > Translators... then choose "Translation to other language", any TeX format should work.
PS - you don't want to enter comments into the forum (lines starting with %), and you use
tags around the maths you want to be displayed inline instead of
and use
to get maths you want to be in a display style. E.g.:
gives:

and
gives:

#13
Posted 17 April 2006 - 09:58 PM
I generally stick to Equation Editor as its pretty standard among Maths teachers for making worksheets, etc.
I'm away to give that a go.
Cheers!
Edit:

Very cool! Thanks again!!

H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#14
Posted 17 April 2006 - 10:07 PM

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