Question

Вычислите:
А)
$5 tg60 {}^{0} - 4 \cos30 {}^{0} + 4 \sin30 {}^{0}$
Б)
$6 \cos \frac{\pi}{6} + \ctg \frac{\pi }{6} - 2 \sin \frac{\pi}{3} - 8 \sin \frac{\pi}{3}$
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Answer 1

Ответ:

$A) 5\cdot tg(60^{\circ})-4\cdot cos(30^{\circ})+4\cdot sin(30 ^{\circ})=5\cdot \sqrt{3}-4\cdot \frac{\sqrt{3}}{2} +4\cdot \frac{1}{2}=2+3\sqrt{3}\\\\B) 6\cdot cos(\frac{\pi}{6} )+\frac{\pi}{6} -2\cdot sin(\frac{\pi}{3} )-8\cdot sin(\frac{\pi}{3} )=6\cdot \frac{\sqrt{3}}{2} + \frac{\pi}{6}-10\cdot \frac{\sqrt{3}}{2} =\frac{\pi}{6}-2\sqrt{3}$