Chapter 4.6, Problem 5PRE

For Exercises 1-16, identify which functions shown here ( $f,g,h,$ and so on) have the given characteristics

$\begin{array}{l}f\left(x\right)=\sin \left(\frac{\pi }{2}x\right)+3g\left(x\right)=-3\cos \left(\frac{1}{2}x-\frac{\pi }{4}\right)h\left(x\right)=3\sin \left(-\frac{1}{2}x-\frac{\pi }{5}\right)\\ k\left(x\right)=-3\sec \left(2x+\pi \right)m\left(x\right)=2\csc \left(2x-\frac{\pi }{2}\right)-3n\left(x\right)=3\tan \left(x-\frac{\pi }{2}\right)\\ p\left(x\right)=-2\cot \left(\frac{1}{2}x+\pi \right)t\left(x\right)=-3+2\cos x\end{array}$

Has a period of $4\pi$