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## Homework Statement

Solve the equations:

[tex]100sin(\alpha) -400cos(30^{o}-\alpha) = 210[/tex]

## Homework Equations

[tex]cos(A-B)=cos A cos B + sin A sin B[/tex]

## The Attempt at a Solution

I threw the identity into the original equation, simplified a bit now I'm stuck at the following:

[tex]200sin(\alpha) -400\sqrt{3}cos(\alpha) - 400 sin(\alpha) = 420[/tex]

[tex] \Rightarrow[/tex] [tex] 10sin(\alpha) -20\sqrt{3}cos(\alpha) - 20 sin(\alpha) = 21 [/tex]

Any ideas?

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