sina = (√2+√6)/4
Пошаговое объяснение:
sina
a = (π/4)+(π/3) = 7π/12 = 105°
sin(105°) = sin(60°+45°) = sin(60°)cos(45°)+cos(60°)sin(45°) =
= (√3/2)(√2/2)+(1/2)(√2/2) = (√2/2)((√3+1)/2) = (√6+√2)/4
sina = (√2+√6)/4
Пошаговое объяснение:
sina
a = (π/4)+(π/3) = 7π/12 = 105°
sin(105°) = sin(60°+45°) = sin(60°)cos(45°)+cos(60°)sin(45°) =
= (√3/2)(√2/2)+(1/2)(√2/2) = (√2/2)((√3+1)/2) = (√6+√2)/4