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Memorization protocols and proof paths for compound angles, double angles, and sum-to-product trigonometric identities.
Trigonometric identities in Optional Mathematics are solvable within 5 minutes if you classify the problem type immediately.
Use the substitution $A + B = \pi - C$, apply $\sin$ and $\cos$, and use factor-expansion pairs. Practice the classic $\sin 2A + \sin 2B + \sin 2C = 4\sin A\sin B\sin C$ sequence.
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