A wave on a rope is given by (f(x, t)=(0.750 mathrm{~cm}) cos pileft[left(4.00 mathrm{~m}^{-1} ight) x-left(4.50 mathrm{~s}^{-1}

A wave on a rope is given by

\(f(x, t)=(0.750 \mathrm{~cm}) \cos \pi\left[\left(4.00 \mathrm{~m}^{-1}\right) x-\left(4.50 \mathrm{~s}^{-1}\right) t\right]\)

Calculate the

(a) wavelength,

(b) angular frequency,

(c) frequency,

(d) period, and 

(e) wave number.