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

Express The Following As An Algebraic Function Of Xsinarctan2x Arccos2x class=

Answer :

In the case of a right triangle

[tex]\tan (\theta)=\frac{O}{A},\cos \theta=\frac{A}{H}[/tex]

Then,

[tex]\begin{gathered} \Rightarrow\theta=\arctan (\frac{O}{A}) \\ \text{and} \\ \theta=\arccos (\frac{A}{H}) \end{gathered}[/tex]

Therefore, in a diagram,