Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \begin{bmatrix}-1,1\end{bmatrix}
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\arccos(-x)+\arccos(x)=\pi
Add \arccos(x) to both sides.
\arccos(x)-\arccos(x)+\pi =\pi
Reorder the terms.
\pi =\pi
Combine \arccos(x) and -\arccos(x) to get 0.
\text{true}
Compare \pi and \pi .
x\in \mathrm{C}
This is true for any x.
\arccos(-x)+\arccos(x)=\pi
Add \arccos(x) to both sides.
\arccos(x)-\arccos(x)+\pi =\pi
Reorder the terms.
\pi =\pi
Combine \arccos(x) and -\arccos(x) to get 0.
\text{true}
Compare \pi and \pi .
x\in \mathrm{R}
This is true for any x.
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