What is the fundamental period of the function
Note that by graphing, we can see that holds true for all integer . Thus the fundamental period of is .
P.S. We can also solve this via compound angle formula.
Because has a fundamental period of 360 degrees,
Thus taking the quotient yields as the answer.
Given that which of these numbers is larger, or
Because is the reciprocal of which is rather small, Also, because both of them are positive and less than 90, they are in the first quadrant. With as an increasing function, we have So the latter number is larger.