If 2sin2π2cos2x=1−cos(πsin2x),x≠(2n+1)π2 ,n∈I then cos 2x is equal to
15
35
45
1
The given equation is equivalent to
2sin2(π/2)cos2x=2sin2((π/2)sin2x)or cos2x=sin2xor cosx(cosx−2sinx)=0⇒1−2tanx=0 as cosx≠0,x≠(2n+1)π2or tanx=12⇒cos2x=1−tan2x1+tan2x=35