cos(180+x)+sin(90+x) если x=-1 (упростите выражение)

Вы ввели

cos(180 + x) + sin(90 + x)

$$\sin{\left (x + 90 \right )} + \cos{\left (x + 180 \right )}$$

Подстановка условия

cos(180 + x) + sin(90 + x) при x = -1

cos(180 + x) + sin(90 + x)

$$\sin{\left (x + 90 \right )} + \cos{\left (x + 180 \right )}$$

cos(180 + (-1)) + sin(90 + (-1))

$$\sin{\left ((-1) + 90 \right )} + \cos{\left ((-1) + 180 \right )}$$

cos(180 - 1) + sin(90 - 1)

$$\cos{\left (-1 + 180 \right )} + \sin{\left (-1 + 90 \right )}$$

cos(179) + sin(89)

$$\cos{\left (179 \right )} + \sin{\left (89 \right )}$$

Численный ответ

cos(180 + x) + sin(90 + x)

Раскрыть выражение

cos(90)*sin(x) + cos(180)*cos(x) + cos(x)*sin(90) - sin(180)*sin(x)

$$\sin{\left (x \right )} \cos{\left (90 \right )} - \sin{\left (180 \right )} \sin{\left (x \right )} + \cos{\left (180 \right )} \cos{\left (x \right )} + \sin{\left (90 \right )} \cos{\left (x \right )}$$