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If the the equation a sin x + cos 2x=2a-...

If the the equation `a sin x + cos 2x=2a-7` possesses a solution, then find the values of a.

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To solve the equation \( a \sin x + \cos 2x = 2a - 7 \) for the values of \( a \) that allow it to possess a solution, we will follow these steps: ### Step 1: Rewrite the equation using the identity for \(\cos 2x\) We know the identity: \[ \cos 2x = 1 - 2 \sin^2 x \] ...
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