(sin(45+a)-cos(45+a))*1/(sin(45+a)+cos(45+a)) если a=-4 (упростите выражение)

$$frac{sin{left (a + 45 right )} – cos{left (a + 45 right )}}{sin{left (a + 45 right )} + cos{left (a + 45 right )}}$$

$$frac{sin{left (a + 45 right )} – cos{left (a + 45 right )}}{sin{left (a + 45 right )} + cos{left (a + 45 right )}}$$

(sin(45 + (-4)) – cos(45 + (-4)))/(sin(45 + (-4)) + cos(45 + (-4)))

$$frac{sin{left ((-4) + 45 right )} – cos{left ((-4) + 45 right )}}{sin{left ((-4) + 45 right )} + cos{left ((-4) + 45 right )}}$$

(sin(45 – 4) – cos(45 – 4))/(sin(45 – 4) + cos(45 – 4))

$$frac{sin{left (-4 + 45 right )} – cos{left (-4 + 45 right )}}{cos{left (-4 + 45 right )} + sin{left (-4 + 45 right )}}$$

(-cos(41) + sin(41))/(cos(41) + sin(41))

$$frac{sin{left (41 right )} – cos{left (41 right )}}{cos{left (41 right )} + sin{left (41 right )}}$$

(-cos(45 + a) + sin(45 + a))/(cos(45 + a) + sin(45 + a))

-1
—————-
/ pi
tan|45 + a + –|
4 /

$$- frac{1}{tan{left (a + frac{pi}{4} + 45 right )}}$$

2*sin(45 + a)
-1 + ————————-
cos(45 + a) + sin(45 + a)

$$-1 + frac{2 sin{left (a + 45 right )}}{sin{left (a + 45 right )} + cos{left (a + 45 right )}}$$

-1
—————-
/ pi
tan|45 + a + –|
4 /

$$- frac{1}{tan{left (a + frac{pi}{4} + 45 right )}}$$

-(-sin(45 + a) + cos(45 + a))
——————————
cos(45 + a) + sin(45 + a)

$$- frac{- sin{left (a + 45 right )} + cos{left (a + 45 right )}}{sin{left (a + 45 right )} + cos{left (a + 45 right )}}$$

cos(45)*sin(a) + cos(a)*sin(45) + sin(45)*sin(a) – cos(45)*cos(a)
—————————————————————–
cos(45)*cos(a) + cos(45)*sin(a) + cos(a)*sin(45) – sin(45)*sin(a)

$$frac{sin{left (a right )} cos{left (45 right )} + sin{left (45 right )} sin{left (a right )} – cos{left (45 right )} cos{left (a right )} + sin{left (45 right )} cos{left (a right )}}{- sin{left (45 right )} sin{left (a right )} + sin{left (a right )} cos{left (45 right )} + cos{left (45 right )} cos{left (a right )} + sin{left (45 right )} cos{left (a right )}}$$