sin a cos b - sin (a -b) упростить
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Ответил Misha001192
0
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Применим формулу синуса разности:
![sin(a - b) = sin(a) cos(b) - cos(a) sin(b) \](https://tex.z-dn.net/?f=+sin%28a+-+b%29++%3D++sin%28a%29++cos%28b%29++-++cos%28a%29++sin%28b%29++%5C+ "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) \](https://tex.z-dn.net/?f=+sin%28a%29++cos%28b%29++-++sin%28a+-+b%29++%3D++sin%28a%29++cos%28b%29++-++sin%28a%29++cos%28b%29++%2B++cos%28a%29++sin%28b%29++%3D++%5C++%3D++cos%28a%29++sin%28b%29++%5C+ "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
Применим формулу синуса разности:
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ОТВЕТ: cosa•sinb
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