A) \[30{}^\circ \]
B) \[60{}^\circ \]
C) \[45{}^\circ \]
D) \[75{}^\circ \]
Correct Answer: B
Solution :
\[2{{\sin }^{2}}\theta +3\cos \theta =3\] \[\Rightarrow \]\[2(1-{{\cos }^{2}}\theta )+3\cos \theta =3\] \[\Rightarrow \]\[-2{{\cos }^{2}}\theta +3\cos -1=0\] \[\Rightarrow \]\[2{{\cos }^{2}}\theta -3\cos +1=0\] \[\Rightarrow \]\[2{{\cos }^{2}}\theta -2\cos \theta -\cos \theta +1=0\] \[\Rightarrow \]\[\,\,(2\cos \theta -1)(\cos \theta -1)=0\] \[\therefore \,\,\,\,\,\,\,\,\cos \theta =\frac{1}{2},0\,\,\,\,\,\,\,\,\,\,\,\,\therefore \,\,\]
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