If `2sin^2((pi/2)cos^2x)=1-cos(pisi n2x),x!=(2n+1)pi/2,n in I ,` then `cos2x` is equal to (A) `1/5` (B) `3/5` (C) `4/5` (D) `1`

If 2sin^2[(pi/2)cos^2x]=1-cos(pisin2x) , x!=(2n+1)pi/2,nin1 , then cos 2x is equal to

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to .............. A) 1/5 B) 3/5 C) 4/5 D) 1

Assertion (A) : if 2sin^(2)((pi)/(2)cos^(2)x)=1-cos(pisin2x) , xne(2n+1)(pi)/(2),n is a integer, then sin2x+cos2x=(1)/(5) Reason (R ) : sin2x+cos2x=(2-(tanx-1)^(2))/(1+tan^(2)x) . Then the true statement among the following is

If pi<=x<=2 pi, then cos^(-1)(cos x) is equal to (A) x(B)-x(C)2 pi+x(D)2 pi-x