- #1
LogicX
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- 1
Homework Statement
Solve for |θ1-θ2|
Homework Equations
cosθ1 + cosθ2 = 0
sinθ1 + sinθ2 = 0
The Attempt at a Solution
This is a silly math problem within a larger question I'm working on. I have solved for it multiple times now using different trig identities and I get different answers.
First of all, can I set them equal to each other because they both equal 0, or do I add them both together? The latter gives an extra negative sign.
Can I solve this just using one equation? i.e.:
cosθ1 + cosθ2 = 0
=2cos((θ1+θ2)/2) cos((θ1-θ2)/2)= 0
Then can I just divide both sides by 2cos((θ1+θ2)/2) and then solve for |θ1-θ2| or is that not proper math?
I've spent way too much time on this high school level question...