Answer:
[tex](cos \:\theta )(sin\: 2\theta)-2\:sin\: \theta +2=0[/tex] [tex]\Longleftarrow[/tex] substitute
[tex]sin\: \theta \: cos^{2} -sin \theta +1=0[/tex] [tex]\Longleftarrow[/tex] Divide both sides by 2
[tex]sin\theta (cos^{2} \theta -1)+1=0[/tex] [tex]\Longleftarrow[/tex] Factor
[tex]sin \theta (sin^{2} \theta )+1=0[/tex] [tex]\Longleftarrow[/tex] substitute
[tex]sin^{3} \theta =-1[/tex] [tex]\Longleftarrow[/tex] Isolate
[tex]sin \theta =-1[/tex]
[tex]\theta =\frac{3\pi }{2} ,\frac{7\pi }{2}[/tex]
OAmalOHopeO
