![prove \: that \\ \sin(a - 45) = 1 \div \sqrt{2} ( \sin \: a \ - \cos \: a) prove \: that \\ \sin(a - 45) = 1 \div \sqrt{2} ( \sin \: a \ - \cos \: a)](https://tex.z-dn.net/?f=prove+%5C%3A+that+%5C%5C++%5Csin%28a+-+45%29++%3D+1+%5Cdiv++%5Csqrt%7B2%7D+%28+%5Csin+%5C%3A+a+%5C+-+++%5Ccos+%5C%3A+a%29)
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