(-cos(18*x)^2)*cot(5)^(1/5)*cos(36*x)*1/(sin(36*x)^2)-36*cot(5)^(1/5)*1/(36*sin(36*x))*cos(18*x)*sin(18*x) если x=-1/2 (упростите выражение)

$$- 36 sin{left (18 x right )} frac{1}{36 sin{left (36 x right )}} cos{left (18 x right )} sqrt[5]{cot{left (5 right )}} + frac{- cos^{2}{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}} cos{left (36 x right )}$$

$$- 36 sin{left (18 x right )} frac{1}{36 sin{left (36 x right )}} cos{left (18 x right )} sqrt[5]{cot{left (5 right )}} + frac{- cos^{2}{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}} cos{left (36 x right )}$$

(((-cos(18*(-1/2))^2)*cot(5)^(1/5))*cos(36*(-1/2)))/sin(36*(-1/2))^2 – ((36*cot(5)^(1/5))/(36*sin(36*(-1/2))))*cos(18*(-1/2))*sin(18*(-1/2))

$$- 36 sin{left (18 (-1/2) right )} frac{1}{36 sin{left (36 (-1/2) right )}} cos{left (18 (-1/2) right )} sqrt[5]{cot{left (5 right )}} + frac{- cos^{2}{left (18 (-1/2) right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 (-1/2) right )}} cos{left (36 (-1/2) right )}$$

(((-cos(18*(-1)/2)^2)*cot(5)^(1/5))*cos(36*(-1)/2))/sin(36*(-1)/2)^2 – ((36*cot(5)^(1/5))/(36*sin(36*(-1)/2)))*cos(18*(-1)/2)*sin(18*(-1)/2)

$$frac{cos{left (frac{-36}{2} right )}}{sin^{2}{left (frac{-36}{2} right )}} – cos^{2}{left (frac{-18}{2} right )} sqrt[5]{cot{left (5 right )}} – 36 sin{left (frac{-18}{2} right )} frac{1}{36 sin{left (frac{-36}{2} right )}} cos{left (frac{-18}{2} right )} sqrt[5]{cot{left (5 right )}}$$

-cos(9)^2*cot(5)^(1/5)*cos(18)/sin(18)^2 – cot(5)^(1/5)*cos(9)*sin(9)/sin(18)

$$- frac{cos^{2}{left (9 right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (18 right )}} cos{left (18 right )} – frac{cos{left (9 right )} sqrt[5]{cot{left (5 right )}}}{sin{left (18 right )}} sin{left (9 right )}$$

$$- frac{cos{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin{left (36 x right )}} sin{left (18 x right )} – frac{cos^{2}{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}} cos{left (36 x right )}$$

-1.0*cos(18*x)^2*(0.634104844197432 + 0.460704136523648*i)*cos(36*x)/sin(36*x)^2 – 1.0*(0.634104844197432 + 0.460704136523648*i)*cos(18*x)*sin(18*x)/sin(36*x)

$$frac{1}{36 sin^{3}{left (36 x right )}} left(- 36 sin{left (18 x right )} sin^{2}{left (36 x right )} cos{left (18 x right )} sqrt[5]{cot{left (5 right )}} – 36 sin{left (36 x right )} cos^{2}{left (18 x right )} cos{left (36 x right )} sqrt[5]{cot{left (5 right )}}right)$$

$$frac{cos{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}} left(- sin{left (18 x right )} sin{left (36 x right )} – cos{left (18 x right )} cos{left (36 x right )}right)$$

2 5 ________
-cos (18*x)*/ cot(5)
———————–
2
sin (36*x)

$$- frac{cos^{2}{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}}$$

$$- left(frac{1}{2} cos{left (36 x right )} + frac{1}{2}right) sqrt[5]{cot{left (5 right )}} cot{left (36 x right )} csc{left (36 x right )} – frac{1}{2} sqrt[5]{cot{left (5 right )}}$$

/ 2 5 ________ 5 ________
-cos (18*x)*/ cot(5) *cos(36*x) + / cot(5) *cos(18*x)*sin(18*x)*sin(36*x)/
——————————————————————————
2
sin (36*x)

$$- frac{1}{sin^{2}{left (36 x right )}} left(sin{left (18 x right )} sin{left (36 x right )} cos{left (18 x right )} sqrt[5]{cot{left (5 right )}} + cos^{2}{left (18 x right )} cos{left (36 x right )} sqrt[5]{cot{left (5 right )}}right)$$

5 ____ 5 ________
-/ -1 */ cos(5)
—————————–
5 _________
2*/ -sin(5) *(1 – cos(36*x))

$$- frac{sqrt[5]{-1} sqrt[5]{cos{left (5 right )}}}{2 sqrt[5]{- sin{left (5 right )}} left(- cos{left (36 x right )} + 1right)}$$

5 ________
-/ cot(5) *(cos(18*x)*cos(36*x) + sin(18*x)*sin(36*x))*cos(18*x)
——————————————————————
2
sin (36*x)

$$- frac{cos{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}} left(sin{left (18 x right )} sin{left (36 x right )} + cos{left (18 x right )} cos{left (36 x right )}right)$$

2
/ 18 18 8 10 12 6 4 14 16 2 2 16 14 4 6 12 10 8 5 ________ / 36 36 18 18 14 22 22 14 10 26 26 10 6 30 30 6 2 34 34 2 4 32 32 4 8 28 28 8 12 24 24 12 16 20 20 16 5 ________ / 7 11 11 7 3 15 15 3 17 17 5 13 13 5 9 9 / 18 18 8 10 12 6 4 14 16 2 2 16 14 4 6 12 10 8
cos (x) – sin (x) – 43758*cos (x)*sin (x) – 18564*cos (x)*sin (x) – 3060*cos (x)*sin (x) – 153*cos (x)*sin (x) + 153*cos (x)*sin (x) + 3060*cos (x)*sin (x) + 18564*cos (x)*sin (x) + 43758*cos (x)*sin (x)/ */ cot(5) *cos (x) + sin (x) – 9075135300*cos (x)*sin (x) – 3796297200*cos (x)*sin (x) – 3796297200*cos (x)*sin (x) – 254186856*cos (x)*sin (x) – 254186856*cos (x)*sin (x) – 1947792*cos (x)*sin (x) – 1947792*cos (x)*sin (x) – 630*cos (x)*sin (x) – 630*cos (x)*sin (x) + 58905*cos (x)*sin (x) + 58905*cos (x)*sin (x) + 30260340*cos (x)*sin (x) + 30260340*cos (x)*sin (x) + 1251677700*cos (x)*sin (x) + 1251677700*cos (x)*sin (x) + 7307872110*cos (x)*sin (x) + 7307872110*cos (x)*sin (x)/ / cot(5) * – 31824*cos (x)*sin (x) – 31824*cos (x)*sin (x) – 816*cos (x)*sin (x) – 816*cos (x)*sin (x) + 18*cos (x)*sin(x) + 18*sin (x)*cos(x) + 8568*cos (x)*sin (x) + 8568*cos (x)*sin (x) + 48620*cos (x)*sin (x)/*cos (x) – sin (x) – 43758*cos (x)*sin (x) – 18564*cos (x)*sin (x) – 3060*cos (x)*sin (x) – 153*cos (x)*sin (x) + 153*cos (x)*sin (x) + 3060*cos (x)*sin (x) + 18564*cos (x)*sin (x) + 43758*cos (x)*sin (x)/
– ———————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————— – —————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————–
2 17 19 21 15 13 23 25 11 9 27 29 7 5 31 33 3 35 35 3 33 31 5 7 29 27 9 11 25 23 13 15 21 19 17
/ 17 19 21 15 13 23 25 11 9 27 29 7 5 31 33 3 35 35 3 33 31 5 7 29 27 9 11 25 23 13 15 21 19 17 – 8597496600*cos (x)*sin (x) – 5567902560*cos (x)*sin (x) – 2310789600*cos (x)*sin (x) – 600805296*cos (x)*sin (x) – 94143280*cos (x)*sin (x) – 8347680*cos (x)*sin (x) – 376992*cos (x)*sin (x) – 7140*cos (x)*sin (x) – 36*sin (x)*cos(x) + 36*cos (x)*sin(x) + 7140*cos (x)*sin (x) + 376992*cos (x)*sin (x) + 8347680*cos (x)*sin (x) + 94143280*cos (x)*sin (x) + 600805296*cos (x)*sin (x) + 2310789600*cos (x)*sin (x) + 5567902560*cos (x)*sin (x) + 8597496600*cos (x)*sin (x)
– 8597496600*cos (x)*sin (x) – 5567902560*cos (x)*sin (x) – 2310789600*cos (x)*sin (x) – 600805296*cos (x)*sin (x) – 94143280*cos (x)*sin (x) – 8347680*cos (x)*sin (x) – 376992*cos (x)*sin (x) – 7140*cos (x)*sin (x) – 36*sin (x)*cos(x) + 36*cos (x)*sin(x) + 7140*cos (x)*sin (x) + 376992*cos (x)*sin (x) + 8347680*cos (x)*sin (x) + 94143280*cos (x)*sin (x) + 600805296*cos (x)*sin (x) + 2310789600*cos (x)*sin (x) + 5567902560*cos (x)*sin (x) + 8597496600*cos (x)*sin (x)/

$$- frac{left(18 sin^{17}{left (x right )} cos{left (x right )} – 816 sin^{15}{left (x right )} cos^{3}{left (x right )} + 8568 sin^{13}{left (x right )} cos^{5}{left (x right )} – 31824 sin^{11}{left (x right )} cos^{7}{left (x right )} + 48620 sin^{9}{left (x right )} cos^{9}{left (x right )} – 31824 sin^{7}{left (x right )} cos^{11}{left (x right )} + 8568 sin^{5}{left (x right )} cos^{13}{left (x right )} – 816 sin^{3}{left (x right )} cos^{15}{left (x right )} + 18 sin{left (x right )} cos^{17}{left (x right )}right) left(- sin^{18}{left (x right )} + 153 sin^{16}{left (x right )} cos^{2}{left (x right )} – 3060 sin^{14}{left (x right )} cos^{4}{left (x right )} + 18564 sin^{12}{left (x right )} cos^{6}{left (x right )} – 43758 sin^{10}{left (x right )} cos^{8}{left (x right )} + 43758 sin^{8}{left (x right )} cos^{10}{left (x right )} – 18564 sin^{6}{left (x right )} cos^{12}{left (x right )} + 3060 sin^{4}{left (x right )} cos^{14}{left (x right )} – 153 sin^{2}{left (x right )} cos^{16}{left (x right )} + cos^{18}{left (x right )}right) sqrt[5]{cot{left (5 right )}}}{- 36 sin^{35}{left (x right )} cos{left (x right )} + 7140 sin^{33}{left (x right )} cos^{3}{left (x right )} – 376992 sin^{31}{left (x right )} cos^{5}{left (x right )} + 8347680 sin^{29}{left (x right )} cos^{7}{left (x right )} – 94143280 sin^{27}{left (x right )} cos^{9}{left (x right )} + 600805296 sin^{25}{left (x right )} cos^{11}{left (x right )} – 2310789600 sin^{23}{left (x right )} cos^{13}{left (x right )} + 5567902560 sin^{21}{left (x right )} cos^{15}{left (x right )} – 8597496600 sin^{19}{left (x right )} cos^{17}{left (x right )} + 8597496600 sin^{17}{left (x right )} cos^{19}{left (x right )} – 5567902560 sin^{15}{left (x right )} cos^{21}{left (x right )} + 2310789600 sin^{13}{left (x right )} cos^{23}{left (x right )} – 600805296 sin^{11}{left (x right )} cos^{25}{left (x right )} + 94143280 sin^{9}{left (x right )} cos^{27}{left (x right )} – 8347680 sin^{7}{left (x right )} cos^{29}{left (x right )} + 376992 sin^{5}{left (x right )} cos^{31}{left (x right )} – 7140 sin^{3}{left (x right )} cos^{33}{left (x right )} + 36 sin{left (x right )} cos^{35}{left (x right )}} – frac{left(- sin^{18}{left (x right )} + 153 sin^{16}{left (x right )} cos^{2}{left (x right )} – 3060 sin^{14}{left (x right )} cos^{4}{left (x right )} + 18564 sin^{12}{left (x right )} cos^{6}{left (x right )} – 43758 sin^{10}{left (x right )} cos^{8}{left (x right )} + 43758 sin^{8}{left (x right )} cos^{10}{left (x right )} – 18564 sin^{6}{left (x right )} cos^{12}{left (x right )} + 3060 sin^{4}{left (x right )} cos^{14}{left (x right )} – 153 sin^{2}{left (x right )} cos^{16}{left (x right )} + cos^{18}{left (x right )}right)^{2} left(sin^{36}{left (x right )} – 630 sin^{34}{left (x right )} cos^{2}{left (x right )} + 58905 sin^{32}{left (x right )} cos^{4}{left (x right )} – 1947792 sin^{30}{left (x right )} cos^{6}{left (x right )} + 30260340 sin^{28}{left (x right )} cos^{8}{left (x right )} – 254186856 sin^{26}{left (x right )} cos^{10}{left (x right )} + 1251677700 sin^{24}{left (x right )} cos^{12}{left (x right )} – 3796297200 sin^{22}{left (x right )} cos^{14}{left (x right )} + 7307872110 sin^{20}{left (x right )} cos^{16}{left (x right )} – 9075135300 sin^{18}{left (x right )} cos^{18}{left (x right )} + 7307872110 sin^{16}{left (x right )} cos^{20}{left (x right )} – 3796297200 sin^{14}{left (x right )} cos^{22}{left (x right )} + 1251677700 sin^{12}{left (x right )} cos^{24}{left (x right )} – 254186856 sin^{10}{left (x right )} cos^{26}{left (x right )} + 30260340 sin^{8}{left (x right )} cos^{28}{left (x right )} – 1947792 sin^{6}{left (x right )} cos^{30}{left (x right )} + 58905 sin^{4}{left (x right )} cos^{32}{left (x right )} – 630 sin^{2}{left (x right )} cos^{34}{left (x right )} + cos^{36}{left (x right )}right) sqrt[5]{cot{left (5 right )}}}{left(- 36 sin^{35}{left (x right )} cos{left (x right )} + 7140 sin^{33}{left (x right )} cos^{3}{left (x right )} – 376992 sin^{31}{left (x right )} cos^{5}{left (x right )} + 8347680 sin^{29}{left (x right )} cos^{7}{left (x right )} – 94143280 sin^{27}{left (x right )} cos^{9}{left (x right )} + 600805296 sin^{25}{left (x right )} cos^{11}{left (x right )} – 2310789600 sin^{23}{left (x right )} cos^{13}{left (x right )} + 5567902560 sin^{21}{left (x right )} cos^{15}{left (x right )} – 8597496600 sin^{19}{left (x right )} cos^{17}{left (x right )} + 8597496600 sin^{17}{left (x right )} cos^{19}{left (x right )} – 5567902560 sin^{15}{left (x right )} cos^{21}{left (x right )} + 2310789600 sin^{13}{left (x right )} cos^{23}{left (x right )} – 600805296 sin^{11}{left (x right )} cos^{25}{left (x right )} + 94143280 sin^{9}{left (x right )} cos^{27}{left (x right )} – 8347680 sin^{7}{left (x right )} cos^{29}{left (x right )} + 376992 sin^{5}{left (x right )} cos^{31}{left (x right )} – 7140 sin^{3}{left (x right )} cos^{33}{left (x right )} + 36 sin{left (x right )} cos^{35}{left (x right )}right)^{2}}$$

2 5 ________ 5 ________
-cos (18*x)*/ cot(5) *cos(36*x) / cot(5) *cos(18*x)*sin(18*x)
——————————– – ——————————
2 sin(36*x)
sin (36*x)

$$frac{- cos^{2}{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin^{2}{left (36 x right )}} cos{left (36 x right )} – frac{cos{left (18 x right )} sqrt[5]{cot{left (5 right )}}}{sin{left (36 x right )}} sin{left (18 x right )}$$