Question

$I$: The range of the function $f\left(x\right)=\cos \left[x\right]$ for $-\frac{\pi }{2}<x<\frac{\pi }{2}$ is $\{1,\cos 1,\cos 2\}$.
$II$: Every periodic function is one-one function.

• A. only I is true
• B. only II is true
• C. both I and II are true
• D. neither I nor II are true

Answer 1

The correct option is A only I is true

From graph you can find the range & also justify that every periodic function is not one-one function.