a) sin(75) = sin(45+30) = sin(45)cos(30) + cos(45)sin(30) = (√2/2)(√3/2) + (√2/2)(1/2) = √6/4 + √2/4 = (√6 + √2)/4
б) cos(32)cos(2) + sin(32)sin(2) = cos(32-2) = cos(30) = √3/2
в) sin(95)cos(5) - cos(95)sin(5) = sin(90+5)cos(5) - cos(90+5)sin(5) = sin(90)cos(5) + cos(90)sin(5) = 1(√3/2) + 0(1/2) = √3/2.
a) sin(75) = sin(45+30) = sin(45)cos(30) + cos(45)sin(30) = (√2/2)(√3/2) + (√2/2)(1/2) = √6/4 + √2/4 = (√6 + √2)/4
б) cos(32)cos(2) + sin(32)sin(2) = cos(32-2) = cos(30) = √3/2
в) sin(95)cos(5) - cos(95)sin(5) = sin(90+5)cos(5) - cos(90+5)sin(5) = sin(90)cos(5) + cos(90)sin(5) = 1(√3/2) + 0(1/2) = √3/2.