Trigonometry URGENT help needed!!! 5 Questions ((?

g(x) = sin2x

f(x) = cos(x-60)

x element [-180; 180]

I have used 30 degree intervals

a) What is the period of f?????

b) Determine f(x0 - g(x) if x = 0

c) Use the graph to determine the value(s) if x for which f(x) < 0

d) For which values of x is f(x).g(x)>0 if x element[-180; 0]

e) Write down the equation of h if h(x) = f(x-30)

These are the 5 questions that are bothering me in my entire maths assignment, solving all / as much as you can is appreciated Please solve them as they are important