![Prove that \sin \frac{8\pi}{3} \cos \frac{23\pi}{6} + \cos \frac{13\pi}{3} \sin\frac{35\pi}{6} = \frac{1}{2} | Homework.Study.com Prove that \sin \frac{8\pi}{3} \cos \frac{23\pi}{6} + \cos \frac{13\pi}{3} \sin\frac{35\pi}{6} = \frac{1}{2} | Homework.Study.com](https://homework.study.com/cimages/multimages/16/study_unit_circle_024537359893991931183.png)
Prove that \sin \frac{8\pi}{3} \cos \frac{23\pi}{6} + \cos \frac{13\pi}{3} \sin\frac{35\pi}{6} = \frac{1}{2} | Homework.Study.com
![sequences and series - Using roots of unity to prove that $\cos\frac{\pi }{2n}\cos\frac{2\pi}{2n}\cdots\cos\frac{(n-1)\pi}{2n}=\frac{\sqrt{n}}{2^{n-1}}$ - Mathematics Stack Exchange sequences and series - Using roots of unity to prove that $\cos\frac{\pi }{2n}\cos\frac{2\pi}{2n}\cdots\cos\frac{(n-1)\pi}{2n}=\frac{\sqrt{n}}{2^{n-1}}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/plfM7.jpg)
sequences and series - Using roots of unity to prove that $\cos\frac{\pi }{2n}\cos\frac{2\pi}{2n}\cdots\cos\frac{(n-1)\pi}{2n}=\frac{\sqrt{n}}{2^{n-1}}$ - Mathematics Stack Exchange
If x ≠ npi/2 and (cos x)^(sin^2 x - 3 sin x + 2) = 1, then find the general solutions of x. - Sarthaks eConnect | Largest Online Education Community
![trigonometry - Proving $\left(\frac{1+\sin x+i\cos x}{1+\sin x-i\cos x}\right)^n=\cos n\left(\frac{\pi }{2}-x\right)+i\sin n\left(\frac{\pi }{2-x}\right)$ - Mathematics Stack Exchange trigonometry - Proving $\left(\frac{1+\sin x+i\cos x}{1+\sin x-i\cos x}\right)^n=\cos n\left(\frac{\pi }{2}-x\right)+i\sin n\left(\frac{\pi }{2-x}\right)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/7TZxt.jpg)