Problem 52467. Easy Sequences 2: Trigonometric function with integral input and output

Created by Ramon Villamangca

Solve Later

The function 'F', defined as: 
                ,
will always return an integer if the input is a natural number (in radians). Furthermore, since the cosine and sine of 0, are 1 and 0 respectively, therefore F(0) = 0.  For a given natural number 'n'  your task is to find the value of F(n).

Solve

Solution Stats

209 Solutions
37 Solvers

Last Solution submitted on Feb 09, 2025

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Mark Posen on 10 Dec 2021

Can someone please explain test case 4? I don't see what is going on, as intmax-4 is clearly not 1234567891011.

I could only pass this case by bodging x inside the function, which is clearly unsatisfactory.

Dyuman Joshi on 10 Dec 2021

intmax - 4 is not equal to 1234567891011. But
F(intmax-4) is equal to F(1234567891011). The given function can have same output for different inputs.

Ramon Villamangca on 14 Dec 2021

Hi Mark,
Trigonometric functions are naturally periodic. So we can expect same function return from different inputs.

Solution Comments

Show comments

Problem Recent Solvers37

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 52467. Easy Sequences 2: Trigonometric function with integral input and output

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers37

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Problem 52467. Easy Sequences 2: Trigonometric function with integral input and output

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers37

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Players