(tan(3*pi/2-x)+cos(pi+x)*sin(5*pi-x))*1/((cos(11*pi/2-x)+sin(3*pi/2+x))^2-1) если x=1/4 (упростите выражение)

$$frac{sin{left (- x + 5 pi right )} cos{left (x + pi right )} + tan{left (- x + frac{3 pi}{2} right )}}{left(sin{left (x + frac{3 pi}{2} right )} + cos{left (- x + frac{11 pi}{2} right )}right)^{2} – 1}$$

$$frac{sin{left (- x + 5 pi right )} cos{left (x + pi right )} + tan{left (- x + frac{3 pi}{2} right )}}{left(sin{left (x + frac{3 pi}{2} right )} + cos{left (- x + frac{11 pi}{2} right )}right)^{2} – 1}$$

(tan((3*pi)/2 – (1/4)) + cos(pi + (1/4))*sin(5*pi – (1/4)))/((cos((11*pi)/2 – (1/4)) + sin((3*pi)/2 + (1/4)))^2 – 1)

$$frac{sin{left (- (1/4) + 5 pi right )} cos{left ((1/4) + pi right )} + tan{left (- (1/4) + frac{3 pi}{2} right )}}{left(sin{left ((1/4) + frac{3 pi}{2} right )} + cos{left (- (1/4) + frac{11 pi}{2} right )}right)^{2} – 1}$$

(tan((3*pi)/2 – 1/4) + cos(pi + 1/4)*sin(5*pi – 1/4))/((cos((11*pi)/2 – 1/4) + sin((3*pi)/2 + 1/4))^2 – 1)

$$frac{sin{left (- frac{1}{4} + 5 pi right )} cos{left (frac{1}{4} + pi right )} + tan{left (- frac{1}{4} + frac{3 pi}{2} right )}}{-1 + left(sin{left (frac{1}{4} + frac{3 pi}{2} right )} + cos{left (- frac{1}{4} + frac{11 pi}{2} right )}right)^{2}}$$

(-cos(1/4)*sin(1/4) + cot(1/4))/(-1 + (-cos(1/4) – sin(1/4))^2)

$$frac{- sin{left (frac{1}{4} right )} cos{left (frac{1}{4} right )} + cot{left (frac{1}{4} right )}}{-1 + left(- cos{left (frac{1}{4} right )} – sin{left (frac{1}{4} right )}right)^{2}}$$

$$frac{- sin{left (x right )} cos{left (x right )} + cot{left (x right )}}{left(- sin{left (x right )} – cos{left (x right )}right)^{2} – 1}$$

(cos(pi + x)*sin(5*pi – x) + tan((3*pi)/2 – x))/(-1.0 + (cos((11*pi)/2 – x) + sin((3*pi)/2 + x))^2)

$$frac{- sin{left (x right )} cos{left (x right )} + cot{left (x right )}}{sin^{2}{left (x right )} + 2 sin{left (x right )} cos{left (x right )} + cos^{2}{left (x right )} – 1}$$

$$frac{- sin{left (x right )} cos{left (x right )} + tan{left (frac{1}{2} left(- 2 x + 3 piright) right )}}{left(sin{left (frac{1}{2} left(2 x + 3 piright) right )} + cos{left (frac{1}{2} left(- 2 x + 11 piright) right )}right)^{2} – 1}$$

1 1
– – + —————
2 sin(2*x)*tan(x)

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

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

cos(pi + x)*sin(x) + cot(x)
—————————————-
2 2
-1 + cos (x) + sin (x) + 2*cos(x)*sin(x)

$$frac{sin{left (x right )} cos{left (x + pi right )} + cot{left (x right )}}{sin^{2}{left (x right )} + 2 sin{left (x right )} cos{left (x right )} + cos^{2}{left (x right )} – 1}$$

-(-cot(x) + cos(x)*sin(x))
——————————————–
(1 + cos(x) + sin(x))*(-1 + cos(x) + sin(x))

$$- frac{sin{left (x right )} cos{left (x right )} – cot{left (x right )}}{left(sin{left (x right )} + cos{left (x right )} – 1right) left(sin{left (x right )} + cos{left (x right )} + 1right)}$$

1 1
– – + —————
2 sin(2*x)*tan(x)

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

zoo – tan(x)
————– – cos(x)*sin(x)
1 + zoo*tan(x)
——————————
2
-1 + (-cos(x) – sin(x))

$$frac{frac{tilde{infty} – tan{left (x right )}}{tilde{infty} tan{left (x right )} + 1} – sin{left (x right )} cos{left (x right )}}{left(- sin{left (x right )} – cos{left (x right )}right)^{2} – 1}$$