5 Cos ^2θ – 2=4 Cos θ
Originally Posted by blame_canada100 5 Cos ^2θ – 2=4 Cos θ note that this is the same as .
now, note that this is a quadratic equation in . to see this easier, let , then you have
now solve for , and then set it equal to to solve for
Originally Posted by blame_canada100 5 Cos ^2θ – 2=4 Cos θ You have a quadratic equation.
So the equation becomes .
Solving for X using the Quadratic formula gives and .
Since , this gives or .
Remember that .
Only one of the above equations can satisfy this. Solve for in the appropriate equation.