Hello,
\(\frac{sin(x)}{cos(x)}=tan(x)\)
\(\frac{sin^2(x)}{cos^2(x)}=??\)
It isn't \(tan(x)\)
It is \(tan^2(x)\)
Actually, there is a rule for these which is (If you noticed a pattern):
\(\frac{sin^n(x)}{cos^n(x)}=tan^n(x)\)
so we can say that:
\(\frac{sin^{100}(x)}{cos^{100}(x)}=tan^{100}(x)\)