Question

Express the following as an algebraic function of x.sin(arctan(2x) - arccos(2x))

Answer 1

In the case of a right triangle

$\tan (\theta)=\frac{O}{A},\cos \theta=\frac{A}{H}$

Then,

$\begin{gathered} \Rightarrow\theta=\arctan (\frac{O}{A}) \\ \text{and} \\ \theta=\arccos (\frac{A}{H}) \end{gathered}$

Therefore, in a diagram,