Thread: Trigonometry

Hi!
I'm stuck on this system of equations and would like your help.
It initially looks like this:



Then my idea was to divide one of the equations by the other, which gives:



Then I know you could write this as:



However, I am unable to solve this equation.
Got any suggestions?

Originally Posted by thyristor

Hi!
I'm stuck on this system of equations and would like your help.
It initially looks like this:



Then my idea was to divide one of the equations by the other, which gives:



Then I know you could write this as:



However, I am unable to solve this equation.
Got any suggestions?

Try solving the set of 2 equations for sin(v) and cos(v) in terms of r. It is not too hard. From that I find that v=

Another approach would be: let x=rcos(v) and y=rsin(v). You have two linear equations for x and y. Once you find x and y, then v=arctan(y/x) and r^2=x^2+y^2. You need to check which particular values of r and v satisfy the original equation.

OK, thanks for the help!
I have got the same answer as Dr.Rocket.