cos(60+a)*cos(a-30)*1/(sqrt(cos(2*a))-sin(2*a)) если a=-4 (упростите выражение)

$$frac{cos{left (a – 30 right )} cos{left (a + 60 right )}}{- sin{left (2 a right )} + sqrt{cos{left (2 a right )}}}$$

$$frac{cos{left (a – 30 right )} cos{left (a + 60 right )}}{- sin{left (2 a right )} + sqrt{cos{left (2 a right )}}}$$

(cos(60 + (-4))*cos((-4) – 30))/(sqrt(cos(2*(-4))) – sin(2*(-4)))

$$frac{cos{left ((-4) – 30 right )} cos{left ((-4) + 60 right )}}{- sin{left (2 (-4) right )} + sqrt{cos{left (2 (-4) right )}}}$$

(cos(60 – 4)*cos(-4 – 30))/(sqrt(cos(2*(-4))) – sin(2*(-4)))

$$frac{cos{left (-30 – 4 right )} cos{left (-4 + 60 right )}}{- sin{left (-4 cdot 2 right )} + sqrt{cos{left (-4 cdot 2 right )}}}$$

cos(34)*cos(56)/(sqrt(cos(8)) + sin(8))

$$frac{cos{left (34 right )} cos{left (56 right )}}{sin{left (8 right )} + sqrt{cos{left (8 right )}}}$$

cos(60 + a)*cos(a – 30)/(cos(2*a)^0.5 – sin(2*a))

$$- frac{cos{left (a – 30 right )} cos{left (a + 60 right )}}{sin^{2}{left (2 a right )} – cos{left (2 a right )}} left(sin{left (2 a right )} + sqrt{cos{left (2 a right )}}right)$$

-cos(-30 + a)*cos(60 + a)
————————–
__________
– / cos(2*a) + sin(2*a)

$$- frac{cos{left (a – 30 right )} cos{left (a + 60 right )}}{sin{left (2 a right )} – sqrt{cos{left (2 a right )}}}$$

$$frac{cos{left (2 a + 30 right )}}{- 2 sin{left (2 a right )} + 2 sqrt{cos{left (2 a right )}}} + frac{cos{left (90 right )}}{- 2 sin{left (2 a right )} + 2 sqrt{cos{left (2 a right )}}}$$

-cos(-30 + a)*cos(60 + a)
————————–
__________
– / cos(2*a) + sin(2*a)

$$- frac{cos{left (a – 30 right )} cos{left (a + 60 right )}}{sin{left (2 a right )} – sqrt{cos{left (2 a right )}}}$$

-cos(-30 + a)*cos(60 + a)
————————–
__________
– / cos(2*a) + sin(2*a)

$$- frac{cos{left (a – 30 right )} cos{left (a + 60 right )}}{sin{left (2 a right )} – sqrt{cos{left (2 a right )}}}$$

(cos(30)*cos(a) + sin(30)*sin(a))*(cos(60)*cos(a) – sin(60)*sin(a))
——————————————————————-
___________________
/ 2 2
/ cos (a) – sin (a) – 2*cos(a)*sin(a)

$$frac{left(sin{left (30 right )} sin{left (a right )} + cos{left (30 right )} cos{left (a right )}right) left(- sin{left (60 right )} sin{left (a right )} + cos{left (60 right )} cos{left (a right )}right)}{sqrt{- sin^{2}{left (a right )} + cos^{2}{left (a right )}} – 2 sin{left (a right )} cos{left (a right )}}$$