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Wzór:
![sin{\frac{\alpha}{2}}=\sqrt{\frac{1-cos\alpha}{2}} sin{\frac{\alpha}{2}}=\sqrt{\frac{1-cos\alpha}{2}}](https://tex.z-dn.net/?f=sin%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1-cos%5Calpha%7D%7B2%7D%7D)
![\alpha=30^o \alpha=30^o](https://tex.z-dn.net/?f=%5Calpha%3D30%5Eo)
![\frac{\alpha}{2}=15^o \frac{\alpha}{2}=15^o](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%7D%7B2%7D%3D15%5Eo)
![sin15^o=\sqrt{\frac{1-cos 30^o}{2}} sin15^o=\sqrt{\frac{1-cos 30^o}{2}}](https://tex.z-dn.net/?f=sin15%5Eo%3D%5Csqrt%7B%5Cfrac%7B1-cos+30%5Eo%7D%7B2%7D%7D)
![sin15^o=\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} sin15^o=\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}}](https://tex.z-dn.net/?f=sin15%5Eo%3D%5Csqrt%7B%5Cfrac%7B1-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%7B2%7D%7D)
![sin15^o=\sqrt{\frac{\frac{2-\sqrt{3}}{2}}{2}} sin15^o=\sqrt{\frac{\frac{2-\sqrt{3}}{2}}{2}}](https://tex.z-dn.net/?f=sin15%5Eo%3D%5Csqrt%7B%5Cfrac%7B%5Cfrac%7B2-%5Csqrt%7B3%7D%7D%7B2%7D%7D%7B2%7D%7D)
![sin15^o=\sqrt{\frac{2-\sqrt{3}}{4}} sin15^o=\sqrt{\frac{2-\sqrt{3}}{4}}](https://tex.z-dn.net/?f=sin15%5Eo%3D%5Csqrt%7B%5Cfrac%7B2-%5Csqrt%7B3%7D%7D%7B4%7D%7D)
![sin^215^o=(\sqrt{\frac{2-\sqrt{3}}{4}})^2 sin^215^o=(\sqrt{\frac{2-\sqrt{3}}{4}})^2](https://tex.z-dn.net/?f=sin%5E215%5Eo%3D%28%5Csqrt%7B%5Cfrac%7B2-%5Csqrt%7B3%7D%7D%7B4%7D%7D%29%5E2)
![sin^215^o=\frac{2-\sqrt{3}}{4} sin^215^o=\frac{2-\sqrt{3}}{4}](https://tex.z-dn.net/?f=sin%5E215%5Eo%3D%5Cfrac%7B2-%5Csqrt%7B3%7D%7D%7B4%7D)