Periodic functions!

Geometry Level 3

What is the smallest positive integer n n such that f ( x ) = sin ⁡ ( sin ⁡ ( n x ) ) tan ⁡ ( x n ) \large \displaystyle f(x)= \frac {\sin(\sin (nx))}{\tan \left(\frac{x}{n}\right) } has a fundamental period of 6 π ? 6\pi?

6 4 2 No value of n 3

Keshav Tiwari by Keshav Tiwari , 23, India

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1 solution

Keshav Tiwari
Aug 18, 2015

Here's the solution . Go from left to right .

4 Helpful 0 Interesting 0 Brilliant 1 Confused

Can you tell me the name of this book where you get solution

Ram Sita - 3 years, 10 months ago

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Sorry, It has been a long time.

Keshav Tiwari - 3 years, 10 months ago

Could you explain how to find the LCM (2pi/n, n pi)? And please confirm why the [f(x) can repeat only when.... ] is true. Is it because the equation requires both terms? Then why can’t we use any other operation on their intersection? Please reply fast.

Adolphout H - 10 months, 2 weeks ago

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