If sin A + sin2A = 1, then find the value of the expression (cos2A + cos4A).
Given: sin A + sin 2 A = 1
sin A = 1 – sin2 A
sin A = cos2 A ....(i)
Squaring both sides
sin2A = cos4A .....(ii)
Add equations (i) and (ii)
sin A + sin2A = cos2A + cos4A = 1