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Notation in trig is problematic.
\( cos^{-1}x \ne cos(x)^{-1} \ne \dfrac{1}{cosx}\)
In reality, \( cos^{-1}x = arccos(x)\)
\( cos^{3}x \ne cos x^3 \)
This is powers: \( cos^{3}x = (cos x)^3 \)
How would you fix this system?