Modular Trigonometric Periodicity #1

Geometry Level 4

$\large {\lambda(x)=|\sin x|+\sin|x|}$

Find the fundamental period of the function $\lambda(x)$ .

2\pi

\dfrac{\pi}{2}

\pi

Not Periodic None of the given choices

1 solution

Omar Sehlouli
Nov 21, 2016

Note that sin function is an odd function , thus $sin|x|$ is equivalent to $sin(x)$ or $sin(-x)$ respect to x sign. And of course we know that $sin(x)$ is not the same as $sin(-x)=-sin(x)$ .

So $\large {\lambda(x)=|\sin x|+\sin|x|}$ isn't a periodic function.

Modular Trigonometric Periodicity #1

1 solution

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