Enrich Derive the sum and difference expansions for the trigonometric functions sin⁡(A±B) = sin⁡Acos⁡B±cos⁡Asin⁡B, cos⁡(A±B) = cos⁡Acos⁡B∓sin⁡Asin⁡B and tan⁡(A±B) = (tan⁡A±tan⁡B)/(1∓tan⁡Atan⁡B)

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