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You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See AnswerSee Answer .1 answer  ·  Top answer: As cos^2x + sin^2x = 1 T Lv Distributors, Images for cos 2x-sin 2x 1-2sin 2x. Click here to get an answer to your question ✍️ How do you prove cos2x = 1 - 2sin^2x using other trigonometric identities?1 answer  ·  Top answer: Using Double angle formula cos2x = cos^2x−sin^2x and the identity cos^2x = 1 - sin^2x cos2x = cos^2x - sin^2x = (1 - sin^2x) - sin^2x = 1 - 2sin^2x . Lv Electronics Recycling, prove sin(2x)+cos(2x)-1=2sin(x)(cos(x)-sin(x)). Detailed step by step solution for prove sin(2x)+cos(2x)-1=2sin(x)(cos(x)-sin(x)) Lv Epi Pochette, How do l prove this trig identity? (Cos (2x)) / (3-Sin (2x). LHS: (Cos(2x)) / (3 - Sin(2x) - 4Sin^2(x)). Using the double-angle identity for cosine, we can write: Cos(2x) = 1 - 2Sin^2(x). 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