t uchun yechish (complex solution)
t=-\frac{6i\ln(\frac{i\sqrt{x^{2}-25}+ix}{5})}{\pi }+12n_{1}-4\text{, }n_{1}\in \mathrm{Z}
t=-\frac{6i\ln(\frac{-i\sqrt{x^{2}-25}+ix}{5})}{\pi }+12n_{2}-4\text{, }n_{2}\in \mathrm{Z}
t uchun yechish
t=2\left(\frac{3\arcsin(\frac{x}{5})}{\pi }+6n_{1}-2\right)\text{, }n_{1}\in \mathrm{Z}
t=2\left(-\frac{3\arcsin(\frac{x}{5})}{\pi }+6n_{2}+1\right)\text{, }n_{2}\in \mathrm{Z}\text{, }|x|\leq 5
x uchun yechish
x=5\sin(\frac{\pi \left(t+4\right)}{6})
Grafik
Viktorina
Trigonometry
5xshash muammolar:
x = 5 \sin ( \frac { \pi } { 6 } t + \frac { 2 } { 3 } \pi )
Baham ko'rish
Klipbordga nusxa olish
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}