Výpočet hodnoty sin 105°
Urč presnú hodnotu:
\( \normalsize\sin\:105\degree \)
\( \frac{1}{2} · \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2} · \frac{1}{2} \)
\( \frac{\sqrt{2}}{4} + \frac{\sqrt{3}}{4} \)
\( \frac{\sqrt{2}}{4} + \frac{\sqrt{3}}{4} \)
\( \frac{\sqrt{2}}{4} + \frac{\sqrt{3}}{4} \)
\( \normalsize\frac{\sqrt3+\sqrt2}{4} \)
\( \frac{1}{2} · \frac{\sqrt{3}}{2} + \frac{\sqrt{2}}{2} · \frac{1}{2} \)
\( \frac{\sqrt{3}}{4} + \frac{\sqrt{2}}{4} \)
\( \frac{\sqrt{3}}{4} + \frac{\sqrt{2}}{4} \)
\( \frac{\sqrt{3}}{4} + \frac{\sqrt{2}}{4} \)
\( \normalsize\frac{\sqrt2+\sqrt3}{4} \)
\( \frac{1}{2} · \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2} · \frac{\sqrt{2}}{2} \)
\( \frac{\sqrt{2}}{4} + \frac{\sqrt{3} · \sqrt{2}}{4} \)
\( \frac{\sqrt{2}}{4} + \frac{\sqrt{3 · 2}}{4} \)
\( \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4} \)
\( \normalsize\frac{\sqrt6+\sqrt2}{4} \)
\( \frac{1}{2} · \frac{\sqrt{3}}{2} + \frac{\sqrt{2}}{2} · \frac{\sqrt{3}}{2} \)
\( \frac{\sqrt{3}}{4} + \frac{\sqrt{2} · \sqrt{3}}{4} \)
\( \frac{\sqrt{3}}{4} + \frac{\sqrt{6}}{4} \)
\( \frac{\sqrt{3}}{4} + \frac{\sqrt{6}}{4} \)
\( \normalsize\frac{\sqrt6+\sqrt3}{4} \)