Solve for f (complex solution)
f=x\arcsin(\frac{1}{x})
x\neq 0
Solve for f
f=x\arcsin(\frac{1}{x})
|x|\geq 1
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xf=x^{2}\arccsc(x)
The equation is in standard form.
\frac{xf}{x}=\frac{x^{2}\arcsin(\frac{1}{x})}{x}
Divide both sides by x.
f=\frac{x^{2}\arcsin(\frac{1}{x})}{x}
Dividing by x undoes the multiplication by x.
f=x\arcsin(\frac{1}{x})
Divide x^{2}\arcsin(\frac{1}{x}) by x.
xf=x^{2}\arccsc(x)
The equation is in standard form.
\frac{xf}{x}=\frac{x^{2}\arcsin(\frac{1}{x})}{x}
Divide both sides by x.
f=\frac{x^{2}\arcsin(\frac{1}{x})}{x}
Dividing by x undoes the multiplication by x.
f=x\arcsin(\frac{1}{x})
Divide x^{2}\arcsin(\frac{1}{x}) by x.
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