Question

Sin(2x-π/4)=√3/2. Помогите.

Answer 1

$sin(2x- dfrac{pi}{4})= dfrac{sqrt3}{2}$
$left[begin{array}{I} 2x- dfrac{pi}{4}= dfrac{pi}{3} + 2pi k \ 2x- dfrac{ pi }{4}= pi - dfrac{ pi }{3}+2 pi k end{array}}$
$left[begin{array}{I} 2x= dfrac{7 pi}{12}+2 pi k \ 2x= dfrac{11 pi }{24}+2 pi k end{array}}$
$left[begin{array}{I} x= dfrac{7 pi }{24}+ pi k \ x= dfrac{11 pi}{24}+ pi k end{array}}; k in Z$   - это ответ