Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers.
Let f(x) = for all real x, find the least natural number x such that
for all real x.
Trigonometry
Least natural number
Functions
Answer: is 60.
PRMO, 2017, Question 11
Plane Trigonometry by Loney
here f(x) =
period of is
period of is
Lcm=
.
Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers.
Let f(x) = for all real x, find the least natural number x such that
for all real x.
Trigonometry
Least natural number
Functions
Answer: is 60.
PRMO, 2017, Question 11
Plane Trigonometry by Loney
here f(x) =
period of is
period of is
Lcm=
.