Question

sin a cos b - sin (a -b) упростить

Answer 1

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Применим формулу синуса разности:

$\sin(a - b) = \sin(a) \cos(b) - \cos(a) \sin(b)$

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$\sin(a) \cos(b) - \sin(a - b) = \sin(a) \cos(b) - \sin(a) \cos(b) + \cos(a) \sin(b) = \\ = \cos(a) \sin(b)$

ОТВЕТ: cosa•sinb