Socratic.org

### How bởi you find all solutions of sin(x/2)+cosx-1=0 in the interval <0,2pi)? |...Bạn đang xem: Giải phương trình cos x = 1/2

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

cbsd.org

284.30 KB

shsu.edu

### S&Z%2010.7.pdf

760.74 KB

http://math.stackexchange.com/questions/702506/solve-sin-x-cos-x-1-for-the-interval-0-2-pi/702591

math.siu.edu

### 150-review-16.pdf

47.94 KB

https://quizlet.com/251439436/solve-trigonometric-equations-cc-flash-cards/

mathcentre.ac.uk

### mc-ty-rcostheta-alpha-2009-1.pdf

230.68 KB

http://coiffeur-sam.ch/708436.html

eNotes

### Solve the equation sin x – 1 = cos x graphically on the interval <0,2pi>....

Microsoft Math Solver

### Solve 10cos^2(x)+21cos(x)-10 | Microsoft Math Solver

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