Solve 2 - 3 cos x = 5 + 3 cos x for 0 degrees lessthan x lessthan 180 degrees (1 point)
can anyone help me...

- anonymous

- chestercat

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- anonymous

The possible answers are 150 degrees, 30 degrees, 60 degrees, and 120 degrees...?

- anonymous

Hey I'm tryin to figure this one out!!

- anonymous

Oh ok...if you could help me I would greatly appreciate it!!

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- anonymous

:) Sure thing. This is geomtry right? Or Algebra 2?

- anonymous

I think algebra 2...I'm in precal but shes going over several subject at one time...

- anonymous

Like an over view of algebra...

- yrelhan4

solve the equation. it will give you cosx=-1/2 --> x=120 degrees

- anonymous

thanks so much...could you help me answer another question @yrelhan4

- yrelhan4

cheers! only if i know it.

- anonymous

I have to find the angle the normal makes with the positive x-axis....& I have to rewrite it each equation in the normal for and solve the length of the normal...
1. 3x-2y-1=0
2. 5x+y-12=0
3. 4x+3y-4=0

- anonymous

If not its ok...but thanks anyway!!!

- yrelhan4

normal to these lines?

- anonymous

Yea..idk what it means either. :/
It said: find the angle the normal makes with the positive x–axis.
Hint: You should first rewrite each equation in normal form and solve for the length of the normal.

- yrelhan4

see that normal from of a line is xsino + ysino =P whee o is angle made with positive x axis and p is the length of normal from origin to the line.

- yrelhan4

can you find a line perpendicular to the given lines and passing through origin?

- anonymous

Ok...no?

- yrelhan4

slope of a line is -(coefficient of x)/(coefficient of y). and m18m2 =-1 where m1 is the slope of the given line and m2 of the normal. write the normal line in the form of y=mx+c. substitute x,y=0,0 as it passes through the origin. this will give you value of c. plug this value back into the equation.
suppose that the line is ax+by+c=0. thelength of perpendicular from x1,y1 is ax1 +by1+c/sqrt(a^2 + b^2). susbtitute 0,0 in place of x1,y1. this will give you value of perpendicular.
i am still working on the angle. i seem to know it but cant recall it.

- yrelhan4

in the first line it is m2*m1=-1

- anonymous

If its confusing you & you can't figure it out its ok....I'm just not that good in math lol

- yrelhan4

just tell me if you get the length of the normal. or i'll you refer you to a site.

- anonymous

Can you just refer me....because I'm really confused

- anonymous

Sorry...

- yrelhan4

its alright sweety. i was as poorer at math. chill!!
http://answers.yahoo.com/question/index?qid=20090817231959AASOXEf
look at this to find the line perpendicular to the given line.
and then look at my explanation.
and i am not following the hint you gave me. i dont follow it. this method of mine makes more sense to me.

- yrelhan4

feel free to back to me if any problem.

- yrelhan4

slope of a line=tano. so arctan[-(coefficient of x)/coefficient of y)] will give you the angle.

- anonymous

ok thanks!!!

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