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Trigonometry Halp RELOADED!

Blogs > Raithed
Post a Reply
Raithed
Profile Blog Joined May 2007
China7078 Posts
February 02 2008 20:27 GMT
#1
[image loading]


x=6.0
y=12.0
L1=12"
L2=10"
r=13.41
theta=63.43
theta1=
theta2=

Is this picture better?

The answers for theta1 is 109.4 and theta2 is 105.5 I just don't know where that came from.

***
ShOoTiNg_SpElLs
Profile Joined July 2003
Korea (South)690 Posts
February 02 2008 20:51 GMT
#2
let the supplementary angle to theta2 be x
by cosine law, we get
R^2 = L1^2 + L2^2 - 2*L1*L2 * cosx
solving, we get x = 74.49~
since x and theta2 add up to 180, we get theta2 is 105.5

let the angle between L1 and R be y
by cosine law, we get
L2^2 = L1^2 + R^2 - 2 * L1 * R * cosy
solving, we get y = 45.94~
since theta and y add up to theta1, we get
theta1 is their sum i.e. 109.4
Purind
Profile Blog Joined April 2004
Canada3562 Posts
February 02 2008 22:36 GMT
#3
Did you see my post in your previous topic? Was there anything wrong with that solution?

Components is way easier than cosine law if you have more than 2 arms
Trucy Wright is hot
ShOoTiNg_SpElLs
Profile Joined July 2003
Korea (South)690 Posts
Last Edited: 2008-02-02 22:45:33
February 02 2008 22:45 GMT
#4
the solution using components would be more elegant, but it might be a bit harder to understand if it's their first time seeing it or if they don't have experience with vectors
Raithed
Profile Blog Joined May 2007
China7078 Posts
February 02 2008 23:07 GMT
#5
ShOoTiNg_SpElLs, thanks. But how'd you understand cosY and cosX instead of cos(gamma) etc?
ShOoTiNg_SpElLs
Profile Joined July 2003
Korea (South)690 Posts
February 02 2008 23:34 GMT
#6
I don't understand what you just asked me lol
Raithed
Profile Blog Joined May 2007
China7078 Posts
February 03 2008 01:17 GMT
#7
Like this:

R^2 = L1^2 + L2^2 - 2*L1*L2 * cosx
solving, we get x = 74.49~


cosx, it's not the same as cos(gamma)? Because I don't remember how to do this, I mean, which way do you look at the angle?
ShOoTiNg_SpElLs
Profile Joined July 2003
Korea (South)690 Posts
February 03 2008 04:00 GMT
#8
I just happened to call my angle x is all, if I chose to call it gamma, it'd still be
R^2 = L1^2 + L2^2 - 2*L1*L2*cos(gamma)
x is just a variable, as would gamma be
btw when I wrote cosx = cos(x), if it's the (lack of) brackets confusing you
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