A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[90{}^\circ \]
Correct Answer: B
Solution :
| [b] \[5{{\sin }^{2}}\theta -{{\cos }^{2}}\theta =2\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,5{{\sin }^{2}}\theta -(1-{{\sin }^{2}}\theta )=2\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,6{{\sin }^{2}}\theta =3\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,{{\sin }^{2}}\theta =\frac{1}{2}\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\sin \theta =\frac{1}{\sqrt{2}}=\sin 45{}^\circ \,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\theta =45{}^\circ \] |
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