A) \[\frac{{{m}^{2}}+{{n}^{2}}}{{{m}^{2}}-{{n}^{2}}}\]
B) \[\frac{{{m}^{2}}-{{n}^{2}}}{{{m}^{2}}+{{n}^{2}}}\]
C) \[\frac{{{m}^{2}}+{{n}^{2}}}{{{n}^{2}}+{{m}^{2}}}\]
D) \[\frac{{{n}^{2}}-{{m}^{2}}}{{{m}^{2}}+{{n}^{2}}}\]
Correct Answer: B
Solution :
(b): \[{{n}^{2}}(1+sin\alpha )={{m}^{2}}(1-sin\alpha )\] \[\Rightarrow \] \[{{n}^{2}}+{{n}^{2}}\sin \alpha ={{m}^{2}}-{{m}^{2}}\sin \alpha \] \[\Rightarrow \] \[\left( {{m}^{2}}+{{n}^{2}} \right)\sin \alpha ={{m}^{2}}-{{n}^{{}}}\] \[\Rightarrow \] \[\sin \alpha =\frac{{{m}^{2}}-{{n}^{2}}}{{{m}^{2}}+{{n}^{2}}}\]You need to login to perform this action.
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