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

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

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

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

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

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

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

(-sin(4)^2 + 4*sin(2)^2)/(-4 + sin(2)^2 + sin(4 + pi/10)^2)

$$frac{- sin^{2}{left (4 right )} + 4 sin^{2}{left (2 right )}}{-4 + sin^{2}{left (2 right )} + sin^{2}{left (frac{pi}{10} + 4 right )}}$$

$$frac{4 sin^{2}{left (a right )} – sin^{2}{left (2 a right )}}{sin^{2}{left (a right )} + cos^{2}{left (2 a + frac{2 pi}{5} right )} – 4}$$

(-sin(2*a + pi)^2 + 4.0*sin(a – 5*pi)^2)/(-4.0 + cos(2*a – 3*pi/5)^2 + sin(a)^2)

$$frac{4 sin^{2}{left (a right )} – sin^{2}{left (2 a right )}}{sin^{2}{left (a right )} + cos^{2}{left (2 a + frac{2 pi}{5} right )} – 4}$$

$$frac{4 sin^{2}{left (a right )} – sin^{2}{left (2 a right )}}{sin^{2}{left (a right )} + cos^{2}{left (frac{1}{5} left(10 a – 3 piright) right )} – 4}$$

4
4*sin (a)
——————————-
2/ 2*pi 2
-4 + cos |2*a + —-| + sin (a)
5 /

$$frac{4 sin^{4}{left (a right )}}{sin^{2}{left (a right )} + cos^{2}{left (2 a + frac{2 pi}{5} right )} – 4}$$

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

3 cos(4*a) 4*cos(2*a)
——————————- + ——————————- – ——————————-
/ 3*pi / 3*pi / 3*pi
-6 – cos(2*a) – sin|4*a + —-| -6 – cos(2*a) – sin|4*a + —-| -6 – cos(2*a) – sin|4*a + —-|
10 / 10 / 10 /

$$- frac{4 cos{left (2 a right )}}{- sin{left (4 a + frac{3 pi}{10} right )} – cos{left (2 a right )} – 6} + frac{cos{left (4 a right )}}{- sin{left (4 a + frac{3 pi}{10} right )} – cos{left (2 a right )} – 6} + frac{3}{- sin{left (4 a + frac{3 pi}{10} right )} – cos{left (2 a right )} – 6}$$

/ 2 2
-sin (2*a) – 4*sin (a)/
——————————-
2/ 2*pi 2
-4 + cos |2*a + —-| + sin (a)
5 /

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

4
4*sin (a)
——————————
2/ 3*pi 2
cos |2*a – —-| – 4 + sin (a)
5 /

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

-(-2*sin(a) + sin(2*a))*(2*sin(a) + sin(2*a))
———————————————-
2/ 2*pi 2
-4 + cos |2*a + —-| + sin (a)
5 /

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

2 2
– sin (2*a) + 4*sin (a)
——————————————————————
2
/ ___________
| / ___ / ___ |
| / 5 / 5 |1 / 5 | | 2
-4 + | / – + —– *sin(2*a) + |- – —–|*cos(2*a)| + sin (a)
/ 8 8 4 4 / /

$$frac{4 sin^{2}{left (a right )} – sin^{2}{left (2 a right )}}{left(sqrt{frac{sqrt{5}}{8} + frac{5}{8}} sin{left (2 a right )} + left(- frac{sqrt{5}}{4} + frac{1}{4}right) cos{left (2 a right )}right)^{2} + sin^{2}{left (a right )} – 4}$$