In Exercises 1-4, graph the functions f and g. Use the graphs to make a conjecture about

Question:

In Exercises 1-4, graph the functions f and g. Use the graphs to make a conjecture about the relationship between the functions.
1. f (x) = sin x + cos(x + π / 2), g (x) = 0
2. f (x) = sin x - cos(x + π / 2), g (x) = 2 sin x
3. f (x) = sin2 x, g(x) = 1 / 2(1 - cos 2x)
4. f (x) = cos2 πx / 2, g (x) = 1 / 2(1 + cos πx)