-625/2-x*(cos(30)-150*1/cos(30))*cos(60)-x*sin(60) если x=-1/3 (упростите выражение)

$$- x sin{left (60 right )} + – x left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – frac{625}{2}$$

$$- x sin{left (60 right )} + – x left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – frac{625}{2}$$

-625/2 – (-1/3)*(cos(30) – 150/cos(30))*cos(60) – (-1/3)*sin(60)

$$- (-1/3) sin{left (60 right )} + – (-1/3) left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – frac{625}{2}$$

-625/2 – (-(cos(30) – 150/cos(30))/3)*cos(60) – (-1)*sin(60)/3

$$- frac{625}{2} – – frac{1}{3} left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – – frac{1}{3} sin{left (60 right )}$$

-625/2 + sin(60)/3 – (50/cos(30) – cos(30)/3)*cos(60)

$$- frac{625}{2} + frac{1}{3} sin{left (60 right )} – left(- frac{1}{3} cos{left (30 right )} + frac{50}{cos{left (30 right )}}right) cos{left (60 right )}$$

$$- x left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – x sin{left (60 right )} – frac{625}{2}$$

-312.5 – 925.711028573903*x

$$frac{1}{2 cos{left (30 right )}} left(- 2 x left(-150 + cos^{2}{left (30 right )}right) cos{left (60 right )} – 2 x sin{left (60 right )} cos{left (30 right )} – 625 cos{left (30 right )}right)$$

$$frac{1}{2 cos{left (30 right )}} left(- 2 x left(-150 + cos^{2}{left (30 right )}right) cos{left (60 right )} – 2 x sin{left (60 right )} cos{left (30 right )} – 625 cos{left (30 right )}right)$$

(625 + 2*x*sin(60))*cos(30) / 2
– ————————— + x*149 + sin (30)/*cos(60)
2
———————————————————-
cos(30)

$$frac{1}{cos{left (30 right )}} left(x left(sin^{2}{left (30 right )} + 149right) cos{left (60 right )} – frac{1}{2} left(2 x sin{left (60 right )} + 625right) cos{left (30 right )}right)$$

$$- x sin{left (60 right )} – x left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – frac{625}{2}$$

625 x*cos(30) x*cos(90)
– — – x*sin(60) – ——— – ——— + 150*x*cos(60)*sec(30)
2 2 2

$$150 x cos{left (60 right )} sec{left (30 right )} – frac{x}{2} cos{left (30 right )} – frac{x}{2} cos{left (90 right )} – x sin{left (60 right )} – frac{625}{2}$$

625 150*x*cos(60)
– — – x*sin(60) – x*cos(30)*cos(60) + ————-
2 cos(30)

$$frac{150 x cos{left (60 right )}}{cos{left (30 right )}} – x cos{left (30 right )} cos{left (60 right )} – x sin{left (60 right )} – frac{625}{2}$$

625 / 150
– — – x*sin(60) – x*|- ——- + cos(30)|*cos(60)
2 cos(30) /

$$- x left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – x sin{left (60 right )} – frac{625}{2}$$

/ 2
-625*cos(30) – 300*x*cos(60) + 2*x*cos (30)*cos(60) + 2*x*cos(30)*sin(60)/
—————————————————————————-
2*cos(30)

$$- frac{1}{2 cos{left (30 right )}} left(2 x sin{left (60 right )} cos{left (30 right )} + 2 x cos^{2}{left (30 right )} cos{left (60 right )} – 300 x cos{left (60 right )} + 625 cos{left (30 right )}right)$$

625 / 150
– — – x*sin(60) – x*|- ——- + cos(30)|*cos(60)
2 cos(30) /

$$- x left(- frac{150}{cos{left (30 right )}} + cos{left (30 right )}right) cos{left (60 right )} – x sin{left (60 right )} – frac{625}{2}$$