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sin 75 = sin(30 + 45)
= sin 30 * cos 45 + cos 30 * sin 45
= (1/2)*(1/√2) + (√3/2)*(1/√2)
= 1/2√2 + √3/2√2
= (1 + √3)/2√2
So, sin 75 = (1 + √3)/2√2