[tex]sin(\frac{5\pi}{3}) = sine(\frac{1}{2} \times \frac{10\pi}{3})[/tex]
[tex]sin(\frac{5\pi}{3}) = -\sqrt{\frac{1 - cos(\frac{10\pi}{3})}{2}}[/tex]
[tex]sin(\frac{5\pi}{3}) = -\sqrt{\frac{1 - cos(600)}{2}}[/tex]
[tex]sin(\frac{5\pi}{3}) = -\sqrt{\frac{1 + \frac{1}{2}}{2}}[/tex]
[tex]sin(\frac{5\pi}{3}) = -\sqrt{\frac{1\frac{1}{2}}{2}}[/tex]
[tex]sin(\frac{5\pi}{3}) = -\sqrt{\frac{3}{4}}[/tex]
[tex]sin(\frac{5\pi}{3}) = -\frac{\sqrt{3}}{2}[/tex]
[tex]cos(\frac{5\pi}{3}) = cos(\frac{1}{2} \times \frac{10\pi}{3})[/tex]
[tex]cos(\frac{5\pi}{3}) = -\sqrt{\frac{1 + cos(\frac{10\pi}{3})}{2}}[/tex]
[tex]cos(\frac{5\pi}{3}) = -\sqrt{\frac{1 + cos(600)}{2}}[/tex]
[tex]cos(\frac{5\pi}{3}) = -\sqrt{\frac{1 - \frac{1}{2}}{2}}[/tex]
[tex]cos(\frac{5\pi}{3}) = -\sqrt{\frac{\frac{1}{2}}{2}[/tex]
[tex]cos(\frac{5\pi}{3}) = -\sqrt{\frac{1}{4}}[/tex]
[tex]cos(\frac{5\pi}{3}) = -\frac{1}{2}[/tex]
[tex]tan(\frac{5\pi}{3}) = tan(\frac{1}{2} \times \frac{10\pi}{3})[/tex]
[tex]tan(\frac{5\pi}{3}) = \sqrt{\frac{1 - cos(\frac{5\pi}{3})}{1 + cos(\frac{5\pi}{3})}}[/tex]
[tex]tan(\frac{5\pi}{3}) = \sqrt{\frac{1 + \frac{1}{2}}{1 - \frac{1}{2}}}[/tex]
[tex]tan(\frac{5\pi}{3}) = \sqrt{\frac{1\frac{1}{2}}{\frac{1}{2}}}[/tex]
[tex]tan(\frac{5\pi}{3}) = \sqrt{3}[/tex]
[tex]tan(\frac{5\pi}{3}) \approx 1.732050808[/tex]
