cos(3*pi-x)-sin(3*pi*1/2+x)*1/5*cos(x-pi) если x=4 (упростите выражение)

$$- frac{1}{5} sin{left (x + frac{3 pi}{2} right )} cos{left (x – pi right )} + cos{left (- x + 3 pi right )}$$

$$- frac{1}{5} sin{left (x + frac{3 pi}{2} right )} cos{left (x – pi right )} + cos{left (- x + 3 pi right )}$$

cos(3*pi – (4)) – sin((3*pi)/2 + (4))/5*cos((4) – pi)

$$- frac{1}{5} sin{left ((4) + frac{3 pi}{2} right )} cos{left ((4) – pi right )} + cos{left (- (4) + 3 pi right )}$$

cos(3*pi – 4) – sin((3*pi)/2 + 4)/5*cos(4 – pi)

$$- frac{1}{5} sin{left (4 + frac{3 pi}{2} right )} cos{left (- pi + 4 right )} + cos{left (- 4 + 3 pi right )}$$

-cos(4) – cos(4)^2/5

$$- frac{1}{5} cos^{2}{left (4 right )} – cos{left (4 right )}$$

$$- frac{1}{5} cos^{2}{left (x right )} – cos{left (x right )}$$

-0.2*cos(x – pi)*sin((3*pi)/2 + x) + cos(3*pi – x)

$$- frac{1}{5} left(cos{left (x right )} + 5right) cos{left (x right )}$$

$$frac{1}{5} left(sin{left (frac{1}{2} left(2 x + 3 piright) right )} – 5right) cos{left (x right )}$$

-(5 + cos(x))*cos(x)
———————
5

$$- frac{1}{5} left(cos{left (x right )} + 5right) cos{left (x right )}$$

$$- cos{left (x right )} – frac{1}{10} cos{left (2 x right )} – frac{1}{10}$$

cos(x)*cos(x – pi)
-cos(x) + ——————
5

$$frac{1}{5} cos{left (x right )} cos{left (x – pi right )} – cos{left (x right )}$$

-(5 + cos(x))*cos(x)
———————
5

$$- frac{1}{5} left(cos{left (x right )} + 5right) cos{left (x right )}$$

/ cos(x)
-|1 + ——|*cos(x)
5 /

$$- left(frac{1}{5} cos{left (x right )} + 1right) cos{left (x right )}$$

2
cos (x)
-cos(x) – ——-
5

$$- frac{1}{5} cos^{2}{left (x right )} – cos{left (x right )}$$