cos(x) is even, sin(x) is odd
cos(x) cos(y) - sin(x) sin(y)
cos(x) cos(y) ∓ sin(x) sin(y)
sin or cos of π/2 ± x
sin(x) cos(y) ± cos(x) sin(y)
sin or cos of π ± x
sin(2x), cos(2x)