Ive got a question from a maths review and im not sure what it means, please help!?

Question

The question says:
Give an example of a trigonometric function that has a period od 60 degrees.

Answer 1

For example
sin(6*x) (x measured in degrees);
or cos(6*x)

Period means that:

f(x+T) = f(x), whatever x is;

T: called the period;

recheck the example above:

sin(6*(x+T)) = sin(6*x + 6*T)
here T = 60
==> sin(6*(x+T)) = sin(6*x+6*60) = sin(6*x + 360) = sin(6*x)

Answer 2

Function Period
sin x-------360°
sin 2x------180°
sin 3x------120°
sin 4x-------90°
sin 5x-------72°
sin 6x-------60°
sin 6x° has a period of 60°
Similarly cos 6x° has a period of 60°

Answer 3

it means a function that repeats every 60 degrees

F(x) = F(x+60)

sin(x) = sin(x+360)

sin(x/a) = sin([x+360]/a) = sin(x/a+360/a)

find a so that 360/a = 60

That's just one way to do it.