Question

Find the trigonometric functions of $\frac{11x}{3}$

Answer 1

$\begin{array}{c}wherex=\pi \\ \sin \left(\frac{11/\pi }{3}\right)=\sin \left(4\pi -\frac{1\pi }{3}\right)\\ =-\sin \left(\frac{\pi }{3}\right)\\ =-\frac{\sqrt{3}}{2}\\ Similarily,\\ \cos \left(\frac{11x}{3}\right)=\frac{1}{2}\\ \tan \left(\frac{11x}{3}\right)=\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=-\sqrt{3}\end{array}$

rest reciprocal above.