need some help with a take home sheet

1. use manual steps to solve Cos(x) Tan(x) + (3)^1/2 Cos(x) = 0

2. use calculator methods: consider y=-3sin(x-3)+2 on .5radians < x < 5.5r

find: max, min points, inflection, and give calculus reasons

3. Antiderive:

A. 3x/4+x^2 dx

B. 3/(4-X^2)^1/2 dx

C. 3/4+x^2 dx

D. 3+2x/(1-x^2)^1/2

4. if sin (x) = -3/7, x is in quad 3 and cos (y)= -2/5, y is in quad 2. calculate exact values for :

a) sin (x-y) =

b) tan (2x) =

5. show steps to prove that:

csc^2(x)tan(x)-cot(x) is equal to tan(x)csc^2(x)tan(x)-cot(x) = tan(x)

thanks guys :)