Объяснение:
sin82*cos22 - sin8cos68
sin(90-8)*cos(90-68) - sin8cos68
sin(90-8) = sin90cos8 - cos90sin8 = cos8
cos(90-68) = cos90cos68 + sin90sin68 = sin68
cos8*sin68 - sin8cos68
похоже на формулу приведения
sin(68 - 8) = sin60 =
Объяснение:
sin82°=sin(90°-8°)=cos8°
cos68°=cos(90°-22°)=sin22°
sin82°⋅cos22°−sin8°⋅cos68°=cos8°⋅cos22°−sin8°⋅sin22°=cos(8°+22°)=cos30°=√3/2
