If tan2X=2tan2Y+1 , then find the value of cos2X+sin2Y? Share with your friends Share 8 Vipin Verma answered this tan2x=2tan2y+1Adding 1 both sidestan2x+1=2tan2y+1+1⇒sec2x=2(tan2y+1)⇒sec2x=2sec2y⇒cos2x=cos2y/2⇒2cos2x=cos2ySubtracting 1 from both sides⇒2cos2x-1=cos2y-1⇒cos2x=-(1-cos2y)=-sin2ySocos 2x+sin2y=(-sin2y)+sin2y=0 Answer 55 View Full Answer