(2*sin(3*a)-3*cos(3*a))^2+2*cos(3*a)+3*sin(3*a) если a=-3/2 (упростите выражение)

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 2 cos{left (3 a right )} + 3 sin{left (3 a right )}$$

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 2 cos{left (3 a right )} + 3 sin{left (3 a right )}$$

(2*sin(3*(-3/2)) – 3*cos(3*(-3/2)))^2 + 2*cos(3*(-3/2)) + 3*sin(3*(-3/2))

$$left(2 sin{left (3 (-3/2) right )} – 3 cos{left (3 (-3/2) right )}right)^{2} + 2 cos{left (3 (-3/2) right )} + 3 sin{left (3 (-3/2) right )}$$

(2*sin(3*(-3)/2) – 3*cos(3*(-3)/2))^2 + 2*cos(3*(-3)/2) + 3*sin(3*(-3)/2)

$$3 sin{left (frac{-9}{2} right )} + 2 cos{left (frac{-9}{2} right )} + left(- 3 cos{left (frac{-9}{2} right )} + 2 sin{left (frac{-9}{2} right )}right)^{2}$$

(-3*cos(9/2) – 2*sin(9/2))^2 – 3*sin(9/2) + 2*cos(9/2)

$$2 cos{left (frac{9}{2} right )} – 3 sin{left (frac{9}{2} right )} + left(- 3 cos{left (frac{9}{2} right )} – 2 sin{left (frac{9}{2} right )}right)^{2}$$

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

(2.0*sin(3*a) – 3.0*cos(3*a))^2 + 2.0*cos(3*a) + 3.0*sin(3*a)

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

2
(-3*cos(3*a) + 2*sin(3*a)) + 2*cos(3*a) + 3*sin(3*a)

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

2
(-3*cos(3*a) + 2*sin(3*a)) + 2*cos(3*a) + 3*sin(3*a)

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

2 2
2*cos(3*a) + 3*sin(3*a) + 4*sin (3*a) + 9*cos (3*a) – 12*cos(3*a)*sin(3*a)

$$4 sin^{2}{left (3 a right )} – 12 sin{left (3 a right )} cos{left (3 a right )} + 3 sin{left (3 a right )} + 9 cos^{2}{left (3 a right )} + 2 cos{left (3 a right )}$$

2
(-3*cos(3*a) + 2*sin(3*a)) + 2*cos(3*a) + 3*sin(3*a)

$$left(2 sin{left (3 a right )} – 3 cos{left (3 a right )}right)^{2} + 3 sin{left (3 a right )} + 2 cos{left (3 a right )}$$

2 2
2*cos(3*a) + 3*sin(3*a) + 4*sin (3*a) + 9*cos (3*a) – 12*cos(3*a)*sin(3*a)

$$4 sin^{2}{left (3 a right )} – 12 sin{left (3 a right )} cos{left (3 a right )} + 3 sin{left (3 a right )} + 9 cos^{2}{left (3 a right )} + 2 cos{left (3 a right )}$$

2
/ 3 3 2 2 3 3 2 2
– 3*cos (a) – 2*sin (a) + 6*cos (a)*sin(a) + 9*sin (a)*cos(a)/ – 3*sin (a) + 2*cos (a) – 6*sin (a)*cos(a) + 9*cos (a)*sin(a)

$$left(- 2 sin^{3}{left (a right )} + 9 sin^{2}{left (a right )} cos{left (a right )} + 6 sin{left (a right )} cos^{2}{left (a right )} – 3 cos^{3}{left (a right )}right)^{2} – 3 sin^{3}{left (a right )} – 6 sin^{2}{left (a right )} cos{left (a right )} + 9 sin{left (a right )} cos^{2}{left (a right )} + 2 cos^{3}{left (a right )}$$