Question

2/3x-4/5=√sin30°+sin 7π/4

Answer 1

$frac{2}{3}x- frac{4}{5}= sqrt{sin30}+sin7 pi /4\ frac{2}{3}x- frac{4}{5}= sqrt{ frac{1}{2} }+sin(2 pi - pi /4)\ frac{2}{3}x- frac{4}{5}= frac{1}{ sqrt{2} }-sin pi /4\frac{2}{3}x- frac{4}{5}= frac{1}{ sqrt{2} }- frac{ sqrt{2} }{2}\ frac{2}{3}x- frac{4}{5}= frac{2-( sqrt{2})^2 }{2 sqrt{2} }\ frac{2}{3}x- frac{4}{5}= frac{2-2}{2 sqrt{2} }\ frac{2}{3}x- frac{4}{5}= frac{0}{2 sqrt{2} }\ frac{2}{3}x- frac{4}{5}=0\ frac{2}{3}x= frac{4}{5}$
$x= frac{4}{5} : frac{2}{3}\x= frac{4}{5} * frac{3}{2}\x= frac{6}{5}\x=1,2$