25*(-10*cos(5*x)^2+20*sin(5*x)^2-(11+10*cos(5*x))*cos(5*x)) если x=1 (упростите выражение)

$$25 left(20 sin^{2}{left (5 x right )} – 10 cos^{2}{left (5 x right )} – left(10 cos{left (5 x right )} + 11right) cos{left (5 x right )}right)$$

$$25 left(20 sin^{2}{left (5 x right )} – 10 cos^{2}{left (5 x right )} – left(10 cos{left (5 x right )} + 11right) cos{left (5 x right )}right)$$

25*(-10*cos(5*(1))^2 + 20*sin(5*(1))^2 – (11 + 10*cos(5*(1)))*cos(5*(1)))

$$25 left(20 sin^{2}{left (5 (1) right )} – 10 cos^{2}{left (5 (1) right )} – left(10 cos{left (5 (1) right )} + 11right) cos{left (5 (1) right )}right)$$

25*(-10*cos(5)^2 + 20*sin(5)^2 – (11 + 10*cos(5))*cos(5))

$$25 left(- left(10 cos{left (5 right )} + 11right) cos{left (5 right )} + – 10 cos^{2}{left (5 right )} + 20 sin^{2}{left (5 right )}right)$$

-250*cos(5)^2 + 500*sin(5)^2 – 25*(11 + 10*cos(5))*cos(5)

$$- 25 left(10 cos{left (5 right )} + 11right) cos{left (5 right )} – 250 cos^{2}{left (5 right )} + 500 sin^{2}{left (5 right )}$$

$$- 25 left(10 cos{left (5 x right )} + 11right) cos{left (5 x right )} + 500 sin^{2}{left (5 x right )} – 250 cos^{2}{left (5 x right )}$$

500.0*sin(5*x)^2 – 250.0*cos(5*x)^2 – 25.0*(11.0 + 10.0*cos(5*x))*cos(5*x)

$$- 25 left(10 cos{left (5 x right )} + 11right) cos{left (5 x right )} + 500 sin^{2}{left (5 x right )} – 250 cos^{2}{left (5 x right )}$$

$$- 25 left(10 cos{left (5 x right )} + 11right) cos{left (5 x right )} + 500 sin^{2}{left (5 x right )} – 250 cos^{2}{left (5 x right )}$$

-500*cos(10*x) – 275*cos(5*x)

$$- 275 cos{left (5 x right )} – 500 cos{left (10 x right )}$$

$$- 25 left(10 cos{left (5 x right )} + 11right) cos{left (5 x right )} + 500 sin^{2}{left (5 x right )} – 250 cos^{2}{left (5 x right )}$$

-500*cos(10*x) – 275*cos(5*x)

$$- 275 cos{left (5 x right )} – 500 cos{left (10 x right )}$$

2 2
– 500*cos (5*x) – 275*cos(5*x) + 500*sin (5*x)

$$500 sin^{2}{left (5 x right )} – 500 cos^{2}{left (5 x right )} – 275 cos{left (5 x right )}$$

-500*cos(10*x) – 275*cos(5*x)

$$- 275 cos{left (5 x right )} – 500 cos{left (10 x right )}$$

/ 2 2
-25* – 20*sin (5*x) + 11*cos(5*x) + 20*cos (5*x)/

$$- 25 left(- 20 sin^{2}{left (5 x right )} + 20 cos^{2}{left (5 x right )} + 11 cos{left (5 x right )}right)$$

2 2
/ 5 3 2 4 / 5 2 3 4 / 5 3 2 4 / 5 4 3 2
– 250*cos (x) – 10*cos (x)*sin (x) + 5*sin (x)*cos(x)/ + 500*sin (x) – 10*cos (x)*sin (x) + 5*cos (x)*sin(x)/ + 25*cos (x) – 10*cos (x)*sin (x) + 5*sin (x)*cos(x)/* -11 – 10*cos (x) – 50*sin (x)*cos(x) + 100*cos (x)*sin (x)/

$$- 250 left(5 sin^{4}{left (x right )} cos{left (x right )} – 10 sin^{2}{left (x right )} cos^{3}{left (x right )} + cos^{5}{left (x right )}right)^{2} + 25 left(5 sin^{4}{left (x right )} cos{left (x right )} – 10 sin^{2}{left (x right )} cos^{3}{left (x right )} + cos^{5}{left (x right )}right) left(- 50 sin^{4}{left (x right )} cos{left (x right )} + 100 sin^{2}{left (x right )} cos^{3}{left (x right )} – 10 cos^{5}{left (x right )} – 11right) + 500 left(sin^{5}{left (x right )} – 10 sin^{3}{left (x right )} cos^{2}{left (x right )} + 5 sin{left (x right )} cos^{4}{left (x right )}right)^{2}$$