Question

Постройте график функции у=3sin(х+п/6)-2. Найдите нули функции.

Answer 1

$3sin(x+ dfrac{pi}{6})-2=0 \ sin(x+ dfrac{pi}{6})= dfrac{2}{3} \ left[begin{array}{I} x+ dfrac{pi}{6}= arcsindfrac{2}{3}+2pi k \ x+ dfrac{pi}{6}= pi -arcsin dfrac{2}{3}+2 pi k end{array}} Leftrightarrow left[begin{array}{I} x=arcsindfrac{2}{3}- dfrac{ pi }{6} +2pi k \ x=-arcsindfrac{2}{3}+ dfrac{5 pi }{6} +2pi k end{array}}; k in Z$