Telangana Board Solutions for Exercise 2: Exercise 6 (b)

Find a $\mathrm{sine}$ function whose period is $\frac{2}{3}$.

Find a $\mathrm{cosine}$ function whose period is $7$.

Sketch the graph of $\tan x\text{ between }0\text{ and }\frac{\pi }{4}$.

Sketch the graph of $\cos 2x\text{ in the interval }[0,\pi ]$.

Sketch the graph of $\sin 2x\text{ in the interval }(0,\pi )$.

Sketch the graph of $\sin x\text{ in the interval }[-\pi ,+\pi ]$.

Sketch the graph of ${\cos }^{2}x\text{ in }[0,\pi ]$.

Sketch the region enclosed by $y=\sin x,y=\cos x$ and $X-$axis in the interval $[0,\pi ]$.