#1**0 **

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:

\(\frac{sin^{100}(x)}{cos^{100}(x)}=tan^{100}(x)\)

.Guest Jan 25, 2020