Question

обчисліть sin 60 +cos 120​

Answer 1

$sin60 = \frac{\sqrt{3}}{2}\\cos120 = -\frac{1}{2}\\ \frac{\sqrt{3}}{2} - \frac{1}{2} = \frac{\sqrt{3}-1}{2}$

Answer 2

Ответ:

$\sin(60) + \cos(120) = \frac{ \sqrt{3} }{2} + \cos(90 + 30) = \frac{ \sqrt{3} }{2} + \cos(90) \cos(30) - \sin(90) \sin(30) = \frac{ \sqrt{3} }{2} - \sin(30) = \frac{ \sqrt{3} }{2} - \frac{1}{2} = \frac{ \sqrt{3} - 1}{2}$