How bởi you find all solutions of sin(x/2)+cosx-1=0 in the interval <0,2pi)? |...
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x=0, pi/3, 5pi/3. Sin(x/2)+cosx-1=0. :. Sin(x/2)=1-cosx=2sin^2(x/2). :. Sin(x/2)-2sin^2(x/2)=0. :. Sin(x/2)1-2sin(x/2)=0. :. Sin(x/2)=0, or, sin(x/2)=1/2=sin(pi/6). "But, "x in <0,2pi) :. 0lexlt2pi :. 0lex/2ltpi. :. Sin(x/2)=0 rArr x/2=0 :....
Socratic.org
How vày you solve sin (x/2) + cosx -1= 0 over the interval 0 lớn 2pi? | Socratic
0, 2pi, pi/3; 5pi/3 -->interval (0, 2pi) Use trig identity: cos 2a = 1 - 2sin^2 a cos x = 1 - 2sin^2 (x/2). Gọi sin (x/2) = t, we get: t + (1 - 2t^2) - 1 = t(1 - 2t) = 0 2 solutions: a. T = sin (x/2) = 0 --> x/2 = 0 --> x = 0, and x/2 = pi...
https://www.quora.com/What-are-all-the-solutions-of-the-equation-in-the-interval-0-2pi-Sin-x-2-cos-x-1-0




https://www.mathway.com/popular-problems/Trigonometry/886638https://www.toppr.com/ask/question/the-solution-set-of-2-cos-x-1-3/https://www.chegg.com/homework-help/questions-and-answers/find-solutions-sin-x-2-cos-x-1-0-interval-0-2pi--express-equation-terms-cosine-find-soluti-q31691052https://www.purplemath.com/modules/solvtrig.htm
cbsd.org5.3%20Solving%20Trig%20Equations%20KEY-NEW.pdf
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https://www.homeworklib.com/qaa/933588/how-do-you-solve-sinx-cosx-1-over-the-interval-0https://www.wyzant.com/resources/answers/831346/find-all-solutions-of-cosx-1-sinx-over-the-interval-0-2pihttps://www.wyzant.com/resources/answers/312679/sin_x_2_1_cosx_solve_for_interval_0_2
shsu.eduS&Z%2010.7.pdf
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http://math.stackexchange.com/questions/702506/solve-sin-x-cos-x-1-for-the-interval-0-2-pi/702591
math.siu.edu150-review-16.pdf
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https://quizlet.com/251439436/solve-trigonometric-equations-cc-flash-cards/
mathcentre.ac.ukmc-ty-rcostheta-alpha-2009-1.pdf
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http://coiffeur-sam.ch/708436.html
eNotes
Solve the equation sin x – 1 = cos x graphically on the interval <0,2pi>....
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