Is it entrapment if the cop tailgates you with his brights on then gives you a ticket?

I was driving at night on an unlit, 4 lane divided road in Parker, Texas. I could see in my rear view mirror that there were two vehicles a good distance behind me. I noticed that one of them was catching up to me very quickly. By the time I reached the intersection where the road narrows down to one lane each way, the vehicle had caught up with me. It then proceeded to tailgate me with its brights on. At this time I was going the speed limit of 45. I figured the vehicle would p me when we got to the ping zone, but it didn't. Then the speed limit increased to 55. As I sped up the other vehicle stayed on my bumper, still with its brights on. By this time I was having difficulty seeing because of his bright headlights reflecting off my mirrors, so I sped up some more. When I reached 62 mph, he switched on his lights and gave me a speeding ticket. And to make matters worse, he gave me a ticket for going 62 in the 45 zone instead of the 55 zone.