R D Sharma Solutions for Chapter: Graphs of Trigonometric Functions, Exercise 2: EXERCISE 6.2

Sketch the graphs of the following trigonometric functions:
$\mathrm{\psi }\left(x\right)=\cos 3x$

Sketch the graphs of the following trigonometric functions:
$u\left(x\right)={\cos }^2\frac{x}{2}$

Sketch the graphs of the following trigonometric functions:
$f\left(x\right)=\cos \pi x$

Sketch the graphs of the following trigonometric functions:
$g\left(x\right)=\cos 2\pi x$

Sketch the graphs of the following curves on the same scale and the same axes:
$y=\cos x$ and $y=\cos \left(x-\frac{\pi }{4}\right)$

Sketch the graphs of the following curves on the same scale and the same axes:
$y=\cos 2x$ and $y=\cos 2\left(x-\frac{\pi }{4}\right)$

Sketch the graphs of the following curves on the same scale and the same axes:
$y=\cos x$ and $y=\cos \frac{x}{2}$

Sketch the graphs of the following curves on the same scale and the same axes:
$y={\cos }^{2}x$ and $y=\cos x$