The discussion revolves around solving the equation for zeroes of r when the angle is a multiple of theta, specifically in the context of polar coordinates. Participants explore the implications of having a term like (2theta) in the equation r=5+10cos(2theta) and how to approach solving it.
Participants express varying levels of understanding and approaches to the problem, with no clear consensus on the method to solve the equation involving (2theta). Uncertainty remains about the correct steps to take.
Participants do not clarify specific assumptions or definitions regarding the handling of angle multiples in trigonometric equations, and the discussion includes unresolved mathematical steps.
What have you tried?Tyrion101 said:I understand what to do when theta is by itself such as r=5+10cos(theta) but what if you have the same equation, and it is (2theta) I am on taptalk by the way.
You took a trig class, right? Do you still have your textbook? If so, there should be numerous examples of solving trig equations, including ones that involve the sine or cosine (or other trig function) of angle multiples.Tyrion101 said:Well if it were without the 2*theta I'd set it equal to 0, like you did, and solve for cos(theta). Well anyway without the 2 you turn the equation into cos=-1/2, would I just multiply -1/2 by 2? Or would I add 2pi or something?