tan(x) + cot(x) can be expressed as the following:
[tex] \frac{sin(x)}{cos(x)} + \frac{cos(x)}{sin(x)} [/tex]
Find the common denominator:
[tex] \frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)} [/tex]
We can use a Pythagorean identity to replace [tex]sin^2(x) + cos^2(x)[/tex] with 1.
So now we have [tex] \frac{1}{sin(x)cos(x)} [/tex] or [tex] \frac{1}{sin(x)} * \frac{1}{cos(x)} [/tex]
Which equals:
[tex]csc(x)sec(x)[/tex]
