sin(6*a)-sin(4*a) если a=4 (упростите выражение)

Вы ввели

sin(6*a) - sin(4*a)

$$- \sin{\left (4 a \right )} + \sin{\left (6 a \right )}$$

Подстановка условия

sin(6*a) - sin(4*a) при a = 4

sin(6*a) - sin(4*a)

$$- \sin{\left (4 a \right )} + \sin{\left (6 a \right )}$$

sin(6*(4)) - sin(4*(4))

$$- \sin{\left (4 (4) \right )} + \sin{\left (6 (4) \right )}$$

sin(6*4) - sin(4*4)

$$\sin{\left (4 \cdot 6 \right )} - \sin{\left (4 \cdot 4 \right )}$$

-sin(16) + sin(24)

$$\sin{\left (24 \right )} - \sin{\left (16 \right )}$$

Численный ответ

-sin(4*a) + sin(6*a)

Раскрыть выражение

        3       3           3                  3                  5                  5          
- 20*cos (a)*sin (a) - 4*cos (a)*sin(a) + 4*sin (a)*cos(a) + 6*cos (a)*sin(a) + 6*sin (a)*cos(a)

$$6 \sin^{5}{\left (a \right )} \cos{\left (a \right )} - 20 \sin^{3}{\left (a \right )} \cos^{3}{\left (a \right )} + 4 \sin^{3}{\left (a \right )} \cos{\left (a \right )} + 6 \sin{\left (a \right )} \cos^{5}{\left (a \right )} - 4 \sin{\left (a \right )} \cos^{3}{\left (a \right )}$$