![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_013049540603873541033.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
![trigonometric polynomials - Solutions of equation $\sin \pi x_1\sin \pi x_2=\sin \pi x_3\sin \pi x_4$ - MathOverflow trigonometric polynomials - Solutions of equation $\sin \pi x_1\sin \pi x_2=\sin \pi x_3\sin \pi x_4$ - MathOverflow](https://i.stack.imgur.com/eBuTx.jpg)
trigonometric polynomials - Solutions of equation $\sin \pi x_1\sin \pi x_2=\sin \pi x_3\sin \pi x_4$ - MathOverflow
![trigonometry - Intuition for reflections/symmetry, shifts, parity, and periodicity of sine and cosine functions at allied angles 0, $π/2$, $π$, $3π/2$, and $2π$ - Mathematics Stack Exchange trigonometry - Intuition for reflections/symmetry, shifts, parity, and periodicity of sine and cosine functions at allied angles 0, $π/2$, $π$, $3π/2$, and $2π$ - Mathematics Stack Exchange](https://i.stack.imgur.com/lHkVu.png)
trigonometry - Intuition for reflections/symmetry, shifts, parity, and periodicity of sine and cosine functions at allied angles 0, $π/2$, $π$, $3π/2$, and $2π$ - Mathematics Stack Exchange
![Find the value of the following :- `{:((a)sin((pi)/(6)),(b)cos ((pi)/(4))), ((c)tan((pi)/(3)), - YouTube Find the value of the following :- `{:((a)sin((pi)/(6)),(b)cos ((pi)/(4))), ((c)tan((pi)/(3)), - YouTube](https://i.ytimg.com/vi/vAY8P1rGi_o/mqdefault.jpg)
Find the value of the following :- `{:((a)sin((pi)/(6)),(b)cos ((pi)/(4))), ((c)tan((pi)/(3)), - YouTube
![Prove that $2{{\\sin }^{2}}\\dfrac{\\pi }{6}+{{\\csc }^{2}}\\dfrac{7\\pi }{6}{{\\cos }^{2}}\\dfrac{\\pi }{3}=\\dfrac{3}{2}$ Prove that $2{{\\sin }^{2}}\\dfrac{\\pi }{6}+{{\\csc }^{2}}\\dfrac{7\\pi }{6}{{\\cos }^{2}}\\dfrac{\\pi }{3}=\\dfrac{3}{2}$](https://www.vedantu.com/question-sets/44b176a9-05fc-4312-bef8-9a1ac61d26c34912377159392106366.png)
Prove that $2{{\\sin }^{2}}\\dfrac{\\pi }{6}+{{\\csc }^{2}}\\dfrac{7\\pi }{6}{{\\cos }^{2}}\\dfrac{\\pi }{3}=\\dfrac{3}{2}$
![Table of values of trigonometric functions. | Trigonometric functions, Math formulas, Math formula chart Table of values of trigonometric functions. | Trigonometric functions, Math formulas, Math formula chart](https://i.pinimg.com/736x/ea/cf/17/eacf17372be0fab51140353dcd60a5ef.jpg)