Chapter 2
Comprehensive Trigonometry for IIT JEE Main and Advanced Rejaul Makshud MeGraw Hill · 125 exercises
Problem 1
Draw the graphs of $$ f(x)=\sin \left(\frac{1}{x}\right) $$
4 step solution
Problem 1
Draw the graphs of $$ f(x)=x \sin x $$
3 step solution
Problem 1
Draw the graphs of $$ f(x)=\sin 2 x $$
3 step solution
Problem 2
Draw the graphs of $$ f(x)=x \sin \left(\frac{1}{x}\right) $$
3 step solution
Problem 2
Draw the graphs of $$ f(x)=x+\sin x $$
3 step solution
Problem 2
Draw the graphs of $$ f(x)=\sin 3 x $$
4 step solution
Problem 3
Draw the graphs of $$ f(x)=\sin x+|x| $$
4 step solution
Problem 3
Draw the graphs of $$ f(x)=x-\sin x $$
4 step solution
Problem 3
Draw the graphs of $$ f(x)=\sin \left(\frac{x}{2}\right) $$
4 step solution
Problem 4
Draw the graphs of $$ f(x)=\sin x-|x| $$
4 step solution
Problem 4
Draw the graphs of $$ f(x)=2^{x} \sin x $$
3 step solution
Problem 4
Draw the graphs of $$ f(x)=\sin \left(\frac{x}{3}\right) $$
3 step solution
Problem 5
Draw the graphs of $$ f(x)=|x|+\sin x $$
4 step solution
Problem 5
Draw the graphs of $$ f(x)=e^{x} \sin x $$
3 step solution
Problem 6
Draw the graphs of $$ f(x)=|x|-\sin |x| $$
3 step solution
Problem 6
Draw the graphs of $$ f(x)=\sin x-\cos x $$
4 step solution
Problem 6
Draw the graphs of $$ f(x)=\sin x-\frac{1}{2} $$
5 step solution
Problem 7
Draw the graphs of $$ f(x)=|x|+\cos |x| $$
3 step solution
Problem 7
Draw the graphs of $$ f(x)=\sin x+\cos x $$
4 step solution
Problem 7
Draw the graphs of $$ f(x)=\sin \left(x-\frac{\pi}{6}\right) $$
4 step solution
Problem 8
Draw the graphs of $$ f(x)=x \cos x $$
3 step solution
Problem 8
Draw the graphs of $$ f(x)=\sin \left(x+\frac{\pi}{6}\right) $$
3 step solution
Problem 9
Draw the graphs of $$ f(x)=\log _{2}(\sin x) $$
4 step solution
Problem 9
Draw the graphs of $$ f(x)=x+\cos x $$
3 step solution
Problem 9
Draw the graphs of $$ f(x)=\sin (x-1) $$
3 step solution
Problem 10
Draw the graphs of $$ f(x)=\log _{2}(\cos x) $$
3 step solution
Problem 10
Draw the graphs of $$ f(x)=x+\cos x $$
3 step solution
Problem 10
Draw the graphs of $$ f(x)=\sin (x+1) $$
3 step solution
Problem 11
Draw the graphs of $$ f(x)=[\sin x], \text { where }[,]=\text { G.I.F } $$
3 step solution
Problem 11
Draw the graphs of $$ f(x)=\sqrt{\sin x} $$
3 step solution
Problem 11
Draw the graphs of $$ f(x)=-\sin x $$
3 step solution
Problem 12
Draw the graphs of $$ f(x)=[2 \sin x],[,]=\text { G.I.F } $$
4 step solution
Problem 12
Draw the graphs of $$ f(x)=\sqrt{-\sin x} $$
3 step solution
Problem 12
Draw the graphs of $$ f(x)=\frac{1}{2}-\sin x $$
3 step solution
Problem 13
Draw the graphs of $$ f(x)=[\sin x+\cos x],[,]=\text { G.I.F } $$
5 step solution
Problem 13
Draw the graphs of $$ f(x)=\sin \left(x-\frac{\pi}{4}\right)+1 $$
4 step solution
Problem 14
Draw the graphs of $$ f(x)=\max \\{\sin x, \cos x\\}, \forall x \in[-2 \pi, 2 \pi] $$
3 step solution
Problem 14
Draw the graphs of $$ f(x)=\sqrt{\sin x}-\sqrt{-\sin x} $$
3 step solution
Problem 14
Draw the graphs of $$ f(x)=\sin \left(x-\frac{\pi}{4}\right)-1 $$
5 step solution
Problem 15
Draw the graphs of $$ f(x)=\max \left\\{\sin x, \frac{1}{2}, \cos x\right\\}, \forall x \in[-2 \pi, 2 \pi] $$
3 step solution
Problem 15
Draw the graphs of $$ f(x)=\sin x+|\sin x| $$
3 step solution
Problem 15
Draw the graphs of $$ f(x)=\sin |x| $$
3 step solution
Problem 16
Draw the graphs of $$ f(x)=\frac{\sin x+\cos x}{2}-\left|\frac{\sin x-\cos x}{2}\right|, \forall x \in[-2 \pi, 2 \pi] $$
4 step solution
Problem 16
Draw the graphs of $$ f(x)=\sin x-|\sin x| $$
3 step solution
Problem 16
Draw the graphs of $$ f(x)=\sin |x|+1 $$
4 step solution
Problem 17
Draw the graphs of $$ f(x)=\frac{\sin x+\cos x}{2}+\left|\frac{\sin x-\cos x}{2}\right|, \forall x \in[-2 \pi, 2 \pi] $$
4 step solution
Problem 17
Draw the graphs of $$ f(x)=\sin x+\sin |x| $$
4 step solution
Problem 17
Draw the graphs of $$ f(x)=\sin |x|-1 $$
4 step solution
Problem 18
Draw the graphs of $$ f(x)=x \sin \left(\frac{1}{x}\right) $$
5 step solution
Problem 18
Draw the graphs of $$ f(x)=\sin x-\sin |x| $$
5 step solution