sin(6*x)*1/sin(2*x)+cos(6*x-pi)*1/cos(2*x) если x=-2 (упростите выражение)

$$frac{cos{left (6 x – pi right )}}{cos{left (2 x right )}} + frac{sin{left (6 x right )}}{sin{left (2 x right )}}$$

$$frac{cos{left (6 x – pi right )}}{cos{left (2 x right )}} + frac{sin{left (6 x right )}}{sin{left (2 x right )}}$$

sin(6*(-2))/sin(2*(-2)) + cos(6*(-2) – pi)/cos(2*(-2))

$$frac{cos{left (6 (-2) – pi right )}}{cos{left (2 (-2) right )}} + frac{sin{left (6 (-2) right )}}{sin{left (2 (-2) right )}}$$

sin(6*(-2))/sin(2*(-2)) + cos(6*(-2) – pi)/cos(2*(-2))

$$frac{sin{left (-2 cdot 6 right )}}{sin{left (-2 cdot 2 right )}} + frac{cos{left (-2 cdot 6 – pi right )}}{cos{left (-2 cdot 2 right )}}$$

sin(12)/sin(4) – cos(12)/cos(4)

$$frac{sin{left (12 right )}}{sin{left (4 right )}} – frac{cos{left (12 right )}}{cos{left (4 right )}}$$

$$- frac{cos{left (6 x right )}}{cos{left (2 x right )}} + frac{sin{left (6 x right )}}{sin{left (2 x right )}}$$

cos(6*x – pi)/cos(2*x) + sin(6*x)/sin(2*x)

$$frac{1}{sin{left (2 x right )} cos{left (2 x right )}} left(- sin{left (2 x right )} cos{left (6 x right )} + sin{left (6 x right )} cos{left (2 x right )}right)$$

$$frac{1}{sin{left (2 x right )} cos{left (2 x right )}} left(- sin{left (2 x right )} cos{left (6 x right )} + sin{left (6 x right )} cos{left (2 x right )}right)$$

2

$$2$$

$$sin{left (6 x right )} csc{left (2 x right )} – cos{left (6 x right )} sec{left (2 x right )}$$

cos(2*x)*sin(6*x) – cos(6*x)*sin(2*x)
————————————-
cos(2*x)*sin(2*x)

$$frac{1}{sin{left (2 x right )} cos{left (2 x right )}} left(- sin{left (2 x right )} cos{left (6 x right )} + sin{left (6 x right )} cos{left (2 x right )}right)$$

cos(2*x)*sin(6*x) – cos(6*x)*sin(2*x)
————————————-
cos(2*x)*sin(2*x)

$$frac{1}{sin{left (2 x right )} cos{left (2 x right )}} left(- sin{left (2 x right )} cos{left (6 x right )} + sin{left (6 x right )} cos{left (2 x right )}right)$$

2

$$2$$

3 3 5 5
cos(6*x) – 20*cos (x)*sin (x) + 6*cos (x)*sin(x) + 6*sin (x)*cos(x)
– —————– + ———————————————————-
2 2 2*cos(x)*sin(x)
cos (x) – sin (x)

$$frac{1}{2 sin{left (x right )} cos{left (x right )}} left(6 sin^{5}{left (x right )} cos{left (x right )} – 20 sin^{3}{left (x right )} cos^{3}{left (x right )} + 6 sin{left (x right )} cos^{5}{left (x right )}right) – frac{cos{left (6 x right )}}{- sin^{2}{left (x right )} + cos^{2}{left (x right )}}$$