Precalculus Mason P. Use power reducing formulas to rewrite: 12sin^4 x Follow • 1 Add comment More Report 1 Expert AnswerBy:
Raymond B. answered • 03/25/21 Tutor 5 (2) Math, microeconomics or criminal justice About this tutor › About this tutor › 12sin^4(x) = 9/2 -6cos(2x) + (3/2)cos(4x) Upvote • 1 Downvote
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+0 Power Reducing Formula+1 1056 2 +322Use the power-reducing formulas as many times as possible to rewrite the expression in terms of the first power of the cosine. 7 cos4 x Ruublrr Dec 1, 2018 0 users composing answers..2+0 Answers#1 +6236+1 \(\text{I assume you mean }7\cos^4(x)\) \(\cos^4(x) =\left( \cos^2(x)\right)^2 = \\ \left(\dfrac{\cos(2x)+1}{2}\right)^2 = \\ \dfrac 1 4 + \dfrac 1 2 \cos(2x) + \dfrac 1 4 \cos^2(2x)\\ \text{repeat the process on the term on the right}\\ \dfrac 1 4 \cos^2(2x) = \dfrac 1 8 (1 + \cos(4x)) \\ \text{so combining everything}\\ 7\cos^4(x) = \dfrac{7}{8} (4 \cos (2 x)+\cos (4 x)+3)\) Rom Dec 1, 2018 #2 +322+1 I actually just figured it out. Thank you though Ruublrr Dec 1, 2018 30 Online UsersTop Users+117852 Melody moderator +33151 Alan moderator +13894 asinus moderator +9445 hectictar +3787 Probolobo +2450 BuilderBoi +2396 GingerAle +1975 saseflower +1224 CubeyThePenguin +1132 nerdiest +770 proyaopSticky TopicsSome guidelines for question askers. What is Happening 5 Again a number puzzle. Multiply in writing. Loads of fun printable number and logic puzzles ¤¤¤¤Welcome To Web2.0calc¤¤¤¤ How to display latex properly Feature Questions 1 - Started 8th May 19 How to upload a picture. If a question is ticked that does not mean you cannot continue it. Should you consider anything before you answer a question? Geometry Thread PUZZLES LaTex Coding https://www.desmos.com/calculator/bsh9ex1zxj Historical post! What is happening? Wrap #4 Great Questions to Learn From 2 Great Answers to Learn From Reference Material Information for new people. |