Дано
$$tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + left(- cot{left (5 p^{6} right )}right)^{2} – 6 sin{left (2 p right )} – 6 cos{left (2 p right )}$$
Подстановка условия
$$tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + left(-1 cot{left (5 p^{6} right )}right)^{2} + -1 cdot 6 sin{left (2 p right )} + -1 cdot 6 cos{left (2 p right )}$$
tan((17*c)/10)*tan(17/10) + (-cot(5*(4)^6))^2 – 6*sin(2*(4)) – 6*cos(2*(4))
$$tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + left(-1 cot{left (5 (4)^{6} right )}right)^{2} + -1 cdot 6 sin{left (2 (4) right )} + -1 cdot 6 cos{left (2 (4) right )}$$
tan((17*c)/10)*tan(17/10) + (-cot(5*4^6))^2 – 6*sin(2*4) – 6*cos(2*4)
$$tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + left(-1 cot{left (5 cdot 4^{6} right )}right)^{2} + -1 cdot 6 sin{left (2 cdot 4 right )} + -1 cdot 6 cos{left (2 cdot 4 right )}$$
cot(20480)^2 – 6*cos(8) – 6*sin(8) + tan(17/10)*tan(17*c/10)
$$tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} – 6 sin{left (8 right )} – 6 cos{left (8 right )} + cot^{2}{left (20480 right )}$$
Степени
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
Численный ответ
cot(5*p^6)^2 – 6.0*cos(2*p) – 6.0*sin(2*p) – 7.69660213945916*tan((17*c)/10)
Рациональный знаменатель
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
Объединение рациональных выражений
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
Общее упрощение
1 /17 /17*c ___ / pi
———- + tan|–|*tan|—-| – 6*/ 2 *sin|2*p + –|
2/ 6 10/ 10 / 4 /
tan 5*p /
$$- 6 sqrt{2} sin{left (2 p + frac{pi}{4} right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + frac{1}{tan^{2}{left (5 p^{6} right )}}$$
Соберем выражение
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + left(- cot{left (5 p^{6} right )}right)^{2}$$
2/ 6 /17 /17*c
cot 5*p / – 6*cos(2*p) – 6*sin(2*p) + tan|–|*tan|—-|
10/ 10 /
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
Общий знаменатель
2/ 6 /17 /17*c
cot 5*p / – 6*cos(2*p) – 6*sin(2*p) + tan|–|*tan|—-|
10/ 10 /
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
Тригонометрическая часть
1 /17 /17*c ___ / pi
———- + tan|–|*tan|—-| – 6*/ 2 *sin|2*p + –|
2/ 6 10/ 10 / 4 /
tan 5*p /
$$- 6 sqrt{2} sin{left (2 p + frac{pi}{4} right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + frac{1}{tan^{2}{left (5 p^{6} right )}}$$
Комбинаторика
2/ 6 /17 /17*c
cot 5*p / – 6*cos(2*p) – 6*sin(2*p) + tan|–|*tan|—-|
10/ 10 /
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
Раскрыть выражение
2
/ 5/ 6 3/ 6 / 6
2 2 cot p / – 10*cot p / + 5*cotp // /17 /17*c
– 6*cos (p) + 6*sin (p) + ————————————- + tan|–|*tan|—-| – 12*cos(p)*sin(p)
2 10/ 10 /
/ 2/ 6 4/ 6
1 – 10*cot p / + 5*cot p //
$$6 sin^{2}{left (p right )} – 12 sin{left (p right )} cos{left (p right )} – 6 cos^{2}{left (p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + frac{left(cot^{5}{left (p^{6} right )} – 10 cot^{3}{left (p^{6} right )} + 5 cot{left (p^{6} right )}right)^{2}}{left(5 cot^{4}{left (p^{6} right )} – 10 cot^{2}{left (p^{6} right )} + 1right)^{2}}$$
2/ 6 /17*c /17
cot 5*p / + tan|—-|*tan|–| – 6*cos(2*p) – 6*sin(2*p)
10 / 10/
$$- 6 sin{left (2 p right )} – 6 cos{left (2 p right )} + tan{left (frac{17}{10} right )} tan{left (frac{17 c}{10} right )} + cot^{2}{left (5 p^{6} right )}$$
