63809a2c-0b5e-4f87-a696-bd16ebc92a7349e0ceb4-d55c-4141-a177-7b718c0c8dff6c89a17a-24f3-4809-bf53-6c9b648a61731.3.4.7<p>Calcular el valor de les funcions trigonomètriques (sinus, cosinus i tangent) de $$x=\dfrac{5\pi}{6}$$ rad.</p><p>L'angle $$\dfrac{5\pi}{6}$$ és un angle del segon quadrant, és a dir, $$\dfrac{\pi}{2} < \dfrac{5\pi}{6} < \pi$$, per tant tenim: $$$\sin(x)=\sin(\dfrac{5\pi}{6})=\sin(\pi-\dfrac{5\pi}{6})=\sin(\dfrac{\pi}{6})=\dfrac{1}{2}$$$</p> <p>$$$\cos(x)=\cos(\dfrac{5\pi}{6})=-\cos(\pi-\dfrac{5\pi}{6})=-\cos(\dfrac{\pi}{6})=-\dfrac{\sqrt{3}}{2}$$$</p> <p>$$$\tan(x)=\tan(\dfrac{5\pi}{6})=-\tan(\pi-\dfrac{5\pi}{6})=-\tan(\dfrac{\pi}{6})=-\dfrac{\sqrt{3}}{3}$$$</p><p>$$\sin(x)=\dfrac{1}{2}$$</p> <p>$$\cos(x)=-\dfrac{\sqrt{3}}{2}$$</p> <p>$$\tan(x)=-\dfrac{\sqrt{3}}{3}$$</p>18/7/16 11:4418/7/16 11:44