book Maths Puzzle Numerical Ability

verify the given identy

cos^2B-sin^2B=2cos^2B-a

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Find the three concecutive even integers for which 3 times the largest is twice the sum of the two smallest integers. This question has me stumped, would someone help me figure it out? There are three problems, but they all relate to each other. You propose to build a space ship that allow the entire population of the United States (280 million) to leave the eart