Дано $$frac{- tan^{2}{left (frac{1}{2} {acos}{left (x right )} + frac{pi}{4} right )} – 1}{2 sqrt{- x^{2} + 1} tan{left (frac{1}{2} {acos}{left (x right )} + frac{pi}{4} right )}}$$ Подстановка условия $$frac{- tan^{2}{left (frac{1}{2} {acos}{left (x right )} + frac{pi}{4} right…
Дано $$frac{1}{sqrt{13}} log{left (frac{2 tan{left (x right )} – sqrt{13} + 3}{2 tan{left (x right )} + 3 + sqrt{13}} right )}$$ Подстановка условия $$frac{1}{sqrt{13}} log{left (frac{2 tan{left (x right )} – sqrt{13} + 3}{2 tan{left (x right )} +…
Дано $$frac{25 c^{4} – 9 d^{6}}{9 d^{6} + 30 c^{2} d^{3} + 25 y^{2}}$$ Степени $$frac{25 c^{4} – 9 d^{6}}{30 c^{2} d^{3} + 9 d^{6} + 25 y^{2}}$$ Численный ответ (25.0*c^4 – 9.0*d^6)/(9.0*d^6 + 25.0*y^2 + 30.0*c^2*d^3) Рациональный знаменатель $$frac{25…
Дано $$frac{-1 cos{left (x left(n + 2right) right )}}{2 left(n + 2right)} – frac{1}{- 2 n + 4} cos{left (x left(- n + 2right) right )}$$ Подстановка условия $$frac{-1 cos{left (x left(n + 2right) right )}}{2 left(n + 2right)} –…
Дано $$p q + – r p q + r p q$$ Подстановка условия $$p q + – r p q + r p q$$ (p*(1/2))*r + (p*(1/2))*(-r) + p*(1/2) $$(1/2) p + – r (1/2) p + r (1/2)…
Дано $$cos{left (pi m right )} cos{left (pi n right )}$$ Подстановка условия $$cos{left (pi m right )} cos{left (pi n right )}$$ cos(pi*(-3/2))*cos(pi*n) $$cos{left (pi (-3/2) right )} cos{left (pi n right )}$$ cos(pi*(-3)/2)*cos(pi*n) $$cos{left (frac{1}{2} left(-1 cdot 3…
Дано $$frac{1}{8} frac{7}{8} p sqrt{2} sqrt{sin{left (x right )}} cos{left (7 p right )}$$ Подстановка условия $$frac{1}{8} frac{7}{8} p sqrt{2} sqrt{sin{left (x right )}} cos{left (7 p right )}$$ ((((sqrt(2*sin((1/3)))*7)*p)/8)*cos(7*p))/8 $$frac{1}{8} frac{7}{8} p sqrt{2} sqrt{sin{left ((1/3) right )}} cos{left (7…
Дано $$343 y^{3} – left(7 y + 3 zright) left(9 z^{2} + – 21 y z + 49 e^{2}right)$$ Подстановка условия $$343 y^{3} – left(7 y + 3 zright) left(9 z^{2} + – 21 y z + 49 e^{2}right)$$ 343*(-2)^3…
Дано $$- left(- frac{3 c}{10} + 12right)^{2} + 144$$ Подстановка условия $$- left(- frac{3 c}{10} + 12right)^{2} + 144$$ 144 – (12 – 3*(-1/4)/10)^2 $$- left(- frac{3 (-1/4)}{10} + 12right)^{2} + 144$$ 144 – (12 – 3*(-1)/4/10)^2 $$- left(- frac{-3}{40}…
Дано $$- sin^{2}{left (t right )} + 1$$ Подстановка условия $$- sin^{2}{left (t right )} + 1$$ 1 – sin((-1))^2 $$- sin^{2}{left ((-1) right )} + 1$$ 1 – sin(-1)^2 $$- sin^{2}{left (-1 right )} + 1$$ 1 – sin(1)^2…