Дано
$$sin{left (a right )} – sin{left (a – 90 right )}$$
Подстановка условия
$$sin{left (a right )} – sin{left (a – 90 right )}$$
sin((1)) – sin((1) – 90)
$$sin{left ((1) right )} – sin{left ((1) – 90 right )}$$
sin(1) – sin(1 – 90)
$$sin{left (1 right )} – sin{left (-90 + 1 right )}$$
sin(1) + sin(89)
$$sin{left (1 right )} + sin{left (89 right )}$$
Численный ответ
-sin(a – 90) + sin(a)
Раскрыть выражение
cos(a)*sin(90) – cos(90)*sin(a) + sin(a)
$$- sin{left (a right )} cos{left (90 right )} + sin{left (a right )} + sin{left (90 right )} cos{left (a right )}$$