Question

Calculați sin (- 101pi/12)

Answer 1

$\sin( \frac{101\pi}{12} ) \\ \sin( \frac{5\pi}{12} ) \\ \ \sin( \frac{\pi}{6} + \frac{\pi}{4} ) \\ \sin( \frac{\pi}{6} ) \cos( \frac{\pi}{4} ) + \cos( \frac{\pi}{6} ) \sin( \frac{\pi}{4} ) \\ \frac{1}{2} \times \frac{ \sqrt{2} }{2} + \frac{ \sqrt{3} }{2} + \frac{ \sqrt{2} }{2} \\ \frac{ \sqrt{2} }{4} + \frac{ \sqrt{6} }{4} \\ \frac{ \sqrt{2 +} \sqrt{6} }{4}$

Sper că o să îți fie de ajutor !