/sci/ - Science & Math

I have physics for some reason as part of my Computet Engineer degree. That’s okay, but I’ve totally forgotten how to solve some trigonometric equations which is part of one task
It’s like this
[math]
$(0.500 kg)(4.00 m/s) = (0.500 kg)(2.00 m/s)(cos \alpha) + (0.300 kg)(4.47 m/s)(cos \beta)
\\\\
0=(0.500 kg)(2.00 m/s)(sin \alpha) - (0.300 kg)(4.47 m/s)(sin \beta)$
[math]

I know I should isolate cos b and sin b and that cos^2b+sin^2 b=1 but no idea what to do otherwise or get one of the a trig functions isolated after adding up to solve a