A) \[2\text{ si}{{\text{n}}^{-}}^{1}\left( n/2 \right)~\]
B) \[2\text{ }co{{s}^{-}}^{1}\left( n/2 \right)\]
C) \[co{{s}^{-}}^{1}\left( n/2 \right)\]
D) \[si{{n}^{-}}^{1}\left( n/2 \right)\]
Correct Answer: B
Solution :
\[sin\text{ }i\,\,=\,\,n\text{ }sin\,\,\frac{i}{2}\] \[2\,\,\sin \,\frac{i}{2}\,\,\cos \frac{i}{2}\,=\,n\,\,\sin \,\frac{i}{2}\] \[\cos \,\frac{i}{2}\,\,=\,\,\frac{n}{2}\] \[i=2\,\,{{\cos }^{-1}}\,\left( \frac{n}{2} \right)\]You need to login to perform this action.
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