[Math] Why $\arctan x$ not equal to $\arcsin(x)/\arccos(x)$

calculusinverse functiontrigonometry

Why $\arctan x$ not equal to $\frac{\arcsin(x)}{\arccos(x)}$? Is there a counter example that I can use to show that they are not equal? Thank!

Best Answer

Aside from $x=0$ and a value near $0.450116$ you can try any value you want. enter image description here