Question

√3 sin x — cos x = 0

Answer 1

Ответ:

π/6

Объяснение:

$\sqrt{3} \sin(x) - \cos(x) = 0 \\ \sqrt{3} \sin(x ) = \cos(x) \: \: | \div \cos(x) \\ \sqrt{3} \tan(x) = 1 \: \: | \div \sqrt{3} \\ \tan(x) = \frac{1}{ \sqrt{3} } \\ \tan(x) = \frac{ \sqrt{3} }{3} \\ x = arctan( \frac{ \sqrt{3} }{3} ) \\ x = \frac{\pi}{6}$