A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[75{}^\circ \]
Correct Answer: C
Solution :
\[co{{s}^{2}}\alpha +co{{s}^{2}}\beta +co{{s}^{2}}\gamma =1\] \[co{{s}^{2}}45{}^\circ +co{{s}^{2}}120{}^\circ +co{{s}^{2}}\gamma =1\] \[\frac{1}{2}+\frac{1}{4}+{{\cos }^{2}}\gamma =1\] \[{{\cos }^{2}}\gamma =\frac{1}{4}\] \[\cos \gamma =\pm \frac{1}{2}\] \[\gamma ={{60}^{o}}\]
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