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February 8th, 2013, 07:25 PM  #1 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  How can I find the angle X
[a*cos(bX)]^2 = c*cos(X) where a, b, c are constant

February 8th, 2013, 10:19 PM  #2 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: How can I find the angle X
I am not sure about this problem... Could you check if you posted it right?!

February 9th, 2013, 01:25 AM  #3 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How can I find the angle X
HI Yes it is OK. There is one unknown and one equation and I am stuck in solving the angle X. 
February 9th, 2013, 01:46 AM  #4 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How can I find the angle X
Or alternatively I want to find the solution of equation given below [a*cos(x)]^2 + b*sin(x)*cos(x) + c = cos(x) where a, b and c are constant Thanks. 
February 9th, 2013, 10:22 PM  #5 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: How can I find the angle X Put random numbers for a, b, c (radians), try to solve and then generalize for a, b, c. 
February 9th, 2013, 10:35 PM  #6  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How can I find the angle X Quote:
Quote:
 
February 9th, 2013, 11:50 PM  #7 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How can I find the angle X
Thanks a lot for your help. I am trying to solve this its not as simple as it looks like e.g. i am not able to find quadratic equation with only cos(x) term.

February 10th, 2013, 01:10 AM  #8  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How can I find the angle X Quote:
 
February 10th, 2013, 03:07 AM  #9 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How can I find the angle X
Thanks for the clarification. I will try again to write whole equation in terms of cos(x). Previously I was ended up with an equation having one extra sin(x) term. I will try again to get rid of sin(x). Thanks. 
February 10th, 2013, 03:16 AM  #10 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How can I find the angle X
Try the Pythagoras theorem for writing out sin(x) in terms of cos(x), the whole calculation can get a bit messy . . .


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