Consider the following simultaneous equations:

3 cos^2 𝛼 + 2 cos^2 𝛽 =4
3 sin^2 𝛼 − 2sin^2 𝛽=0
*Find the values of cos 2𝛼 and cos 2𝛽.
*Hence solve for 𝛼 and 𝛽. Where 0°≤𝛼≤360° and 0°≤𝛽≤360°.

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