![real analysis - integral $ \int_0^{\frac{\pi}{3 }}\mathrm{ln}\left(\frac{\mathrm{sin}(x)}{\mathrm{sin}(x+\frac{\pi}{3})}\right)\ \mathrm{d}x$ - Mathematics Stack Exchange real analysis - integral $ \int_0^{\frac{\pi}{3 }}\mathrm{ln}\left(\frac{\mathrm{sin}(x)}{\mathrm{sin}(x+\frac{\pi}{3})}\right)\ \mathrm{d}x$ - Mathematics Stack Exchange](https://i.stack.imgur.com/RsY96.jpg)
real analysis - integral $ \int_0^{\frac{\pi}{3 }}\mathrm{ln}\left(\frac{\mathrm{sin}(x)}{\mathrm{sin}(x+\frac{\pi}{3})}\right)\ \mathrm{d}x$ - Mathematics Stack Exchange
![Prove that: sin(pi+x)cos (pi2+x)tan (3pi2-x)cot(2pi-x)sin(2pi-x)cos(2pi-x) ( - x)sin (3pi2-x) = n pi + pi 4 where n∈ N Prove that: sin(pi+x)cos (pi2+x)tan (3pi2-x)cot(2pi-x)sin(2pi-x)cos(2pi-x) ( - x)sin (3pi2-x) = n pi + pi 4 where n∈ N](https://haygot.s3.amazonaws.com/questions/1609504_1665201_ans_13d0466d15454f85a744e48b20c675b6.jpeg)
Prove that: sin(pi+x)cos (pi2+x)tan (3pi2-x)cot(2pi-x)sin(2pi-x)cos(2pi-x) ( - x)sin (3pi2-x) = n pi + pi 4 where n∈ N
Prove that: |sin x sin(π/3 - x)sin(π/3 + x)| ≤ 1/4 For all values of x. - Sarthaks eConnect | Largest Online Education Community
How to solve the limit (without l´Hopital): [math]\displaystyle\lim_{x \to\frac{\pi}{3}}\frac{\sin(x-\frac{\pi}{3})}{1-2\cos(x)}[/math] - Quora
Prove that: sin(π/3 - x) cos(π/6 + x) + cos(π/3 - x) sin(π/6 + x) = 1 - Sarthaks eConnect | Largest Online Education Community
![Sketch the graph of y = - 2 sin (x - pi / 2) + 3 over the interval [0, 2 pi] by comparing it to the graph of y = sin x. | Homework.Study.com Sketch the graph of y = - 2 sin (x - pi / 2) + 3 over the interval [0, 2 pi] by comparing it to the graph of y = sin x. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/fig_52a4944619864405640501.png)