The expression 'sin a cos b' represents the product of the sine of angle 'a' and the cosine of angle 'b'. This term is significant in trigonometry as it is commonly used in the context of product-to-sum and sum-to-product identities, which help to simplify expressions involving trigonometric functions. Understanding this expression is crucial for manipulating and solving various trigonometric equations, especially in transforming products into sums or differences, which can make calculations easier.
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