1. 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?

2.

3. 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=

4. 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.

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

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