How would you derive the relationships between the trigonometric functions and the inverse trigonometric functions, such as:
$\displaystyle \sin(\arccos(x)) = \sqrt{1 - x^2}$
$\displaystyle \sin(\arctan(x)) = \frac{x}{\sqrt{1 + x^2}}$
How would you derive the relationships between the trigonometric functions and the inverse trigonometric functions, such as:
$\displaystyle \sin(\arccos(x)) = \sqrt{1 - x^2}$
$\displaystyle \sin(\arctan(x)) = \frac{x}{\sqrt{1 + x^2}}$