- #1

LogicX

- 181

- 1

## Homework Statement

Solve for |θ

_{1}-θ

_{2}|

## Homework Equations

cosθ

_{1}+ cosθ

_{2}= 0

sinθ

_{1}+ sinθ

_{2}= 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.:

cosθ

_{1}+ cosθ

_{2}= 0

=2cos((θ

_{1}+θ

_{2})/2) cos((θ

_{1}-θ

_{2})/2)= 0

Then can I just divide both sides by 2cos((θ

_{1}+θ

_{2})/2) and then solve for |θ

_{1}-θ

_{2}| or is that not proper math?

I've spent way too much time on this high school level question...