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# Trigonometry & natural numbers | PRMO 2017 | Question 11 Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers.

## Trigonometry & natural numbers - PRMO 2017

Let f(x) = for all real x, find the least natural number x such that for all real x.

• is 107
• is 60
• is 840
• cannot be determined from the given information

### Key Concepts

Trigonometry

Least natural number

Functions

PRMO, 2017, Question 11

Plane Trigonometry by Loney

## Try with Hints

here f(x) = period of is period of is Lcm=  .

## Subscribe to Cheenta at Youtube

Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers.

## Trigonometry & natural numbers - PRMO 2017

Let f(x) = for all real x, find the least natural number x such that for all real x.

• is 107
• is 60
• is 840
• cannot be determined from the given information

### Key Concepts

Trigonometry

Least natural number

Functions

PRMO, 2017, Question 11

Plane Trigonometry by Loney

## Try with Hints

here f(x) = period of is period of is Lcm=  .

## Subscribe to Cheenta at Youtube

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