Could someone help me find the order of the following expression without using the quotient rule?
$\frac{1-\cos(x)}{1+\cos(x)}$
I expanded the denominator and the numerator but not sure how I get to the answer from here,
$\frac{\frac{x^2}{2}-\frac{x^4}{24}+\dots}{2-\frac{x^2}{2}+\frac{x^4}{24}+\dots}$
Many thanks for your help in advance.