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`costheta-cos2theta=sin3theta`

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To solve the equation \( \cos \theta - \cos 2\theta = \sin 3\theta \), we will follow these steps: ### Step 1: Use the Cosine Difference Identity We can use the identity for the difference of cosines: \[ \cos A - \cos B = -2 \sin\left(\frac{A+B}{2}\right) \sin\left(\frac{A-B}{2}\right) \] In our case, let \( A = \theta \) and \( B = 2\theta \): ...
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