Resolver para ϕ
\left\{\begin{matrix}\\ϕ\in \begin{bmatrix}\frac{-2\arcsin(\sin(\theta ))+4\pi n_{2}+\pi }{2},\frac{2\arcsin(\sin(\theta ))+4\pi n_{2}+3\pi }{2}\end{bmatrix}\text{, }n_{2}\in \mathrm{Z}\text{, }&\text{unconditionally}\\ϕ\in \mathrm{R}\text{, }&\exists n_{3}\in \mathrm{Z}\text{ : }\theta =2\pi n_{3}+\frac{\pi }{2}\text{, }not(n_{1}>n_{3})\text{ or }\theta >2\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.
Resolver para θ
\theta \in \begin{bmatrix}\arcsin(\cos(ϕ))+2\pi n_{1},-\arcsin(\cos(ϕ))+2\pi n_{1}+\pi \end{bmatrix}\text{, }n_{1}\in \mathrm{Z}
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Exemplos
Ecuación cuadrática
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometría
4 \sin \theta \cos \theta = 2 \sin \theta
Ecuación linear
y = 3x + 4
Aritmética
699 * 533
Matriz
\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]
Ecuación simultánea
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferenciación
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integración
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Límites
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}