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## Homework Statement

Isolate for the angle. Do not sub in numbers, isolate the angle, θ . Use of trig identities required.

## Homework Equations

[itex]m_{2}g=m_{1}gsinθ-μm_{1}gcosθ[/itex]

We are given the trigonometric identities:

## The Attempt at a Solution

I have attempted everything from squaring both sides, to no avail, as I see no way to use any trig identities so isolate for the angle. It is the μ that makes it quite difficult to isolate for θ.

[itex]m_{2}g=m_{1}gsinθ-μm_{1}gcosθ[/itex]

[itex]m_{2}g=m_{1}g(sinθ-μcosθ)[/itex]

[itex]\frac{m_{2}g}{m_{1}g}=(sinθ-μcosθ)[/itex]

[itex]\frac{m_{2}}{m_{1}}=sinθ-μcosθ[/itex]

At this point I am completely stuck... Any help would be appreciated.

Thanks.

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