Question

2cos^{2}(x+270)=3sin(x+270)

Answer 1

$2cos^2(x+270)=3sin(x+270) \ 2cos^2(x+ frac{3pi}{2})=3sin(x+frac{3pi}{2} ) \ 2cos^2y=3siny \ 2-2sin^2y-3siny=0 \ 2sin^2y+3siny-2=0 \ D=9+16=25 \ siny_1 neq -2<-1 \ siny_2=0.5 \ y= (-1)^k frac{pi}{6} +pi k \ x+ frac{3pi}{2}= (-1)^k frac{pi}{6} +pi k \ x= (-1)^k frac{pi}{6} +pi k- frac{3pi}{2}, kin Z$