A) 1
B) \[\frac{\sqrt{3}}{2}\]
C) \[\frac{1}{\sqrt{3}}\]
D) \[\frac{1}{2}\]
Correct Answer: C
Solution :
(c): \[7{{\sin }^{2}}\theta +3{{\cos }^{2}}\theta =4\] \[\Rightarrow \] \[4{{\sin }^{2}}\theta +3=4\] \[\Rightarrow \] \[4{{\sin }^{2}}\theta =1\] \[\Rightarrow \] \[\sin \theta =\frac{1}{2}\] \[\Rightarrow \] \[\cos \theta =\frac{\sqrt{3}}{2}\] \[\Rightarrow \] \[\tan \theta =\frac{1}{\sqrt{3}}\]
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