Question

Нужно решить уравнение (2sinx-корень2) (ctgx-корень 3) =0

Answer 1

$(2sinx-sqrt2)(ctgx-sqrt3)=0\\ left[begin{array}{ccc}2sinx-sqrt2=0\ctgx-sqrt3=0end{array}right= textgreater left[begin{array}{ccc}2sinx=sqrt2\ctgx=sqrt3end{array}right= textgreater left[begin{array}{ccc}displaystyle sinx=frac{sqrt2}2\\ctgx=sqrt3end{array}right= textgreater \\\ = textgreater boxed{left[begin{array}{ccc}displaystyle x=frac{pi}4+2pi n;nin Z\\displaystyle x=frac{3pi}4+2pi n;nin Z\\displaystyle x=frac{pi}6+pi n;nin Zend{array}right}$