Sum and Difference 

1. sin(3π-x) = sinx

Remember to work with one side of the equation at a time

2. sin[(π/6)+x] = (1/2)(cosx + √3sinx)

3. sin(x+y) + sin(x-y) = 2sinxcosy

Double Angle

1. csc2Θ = (cscΘ) / (2cosΘ)

2. sec2Θ = (sec²Θ) / (2 - sec²Θ)

3. 1 + cos10y = 2cos²5y

Half Angle

1. sec(x/2) = +/- √[(2tanx)/(tanx + sinx)]

2. tan(x/2) = cscx - cotx

3. -√[(1 + cos10x)/2] = -cos5x