PLEASE ANSWER WILL LEAVE A GOOD REVIEW MATH IS GRADE 12 LEVEL

1) Prove the identity: 1 - sin x/ cos x = cos x / 1 + sin x

2) Create a function that has a graph with given features

2a) Vertical asymptote a x = -2 and horizontal asymptote at y = 1

2b) Two vertical asymptotes at x = 3 and x = -4, and a hole at x = 1

2c) Vertical asymptote at x = -3, horizontal asymptote at y = 0, no x-intercept and a y intercept at -2

2d) Please sketch a graph

3) For composite functions, which operation is most useful: Adding functions, Subtracting functions, Multiplying functions, or Dividing functions? Why?

4) For the function f(g(x), what is the domain? Please find it using your own examples for f(x) and g(x) and explain how you got it: