A) \[-1\]
B) \[0\]
C) \[1\]
D) \[2\]
Correct Answer: C
Solution :
\[\cos 2\alpha +\cos 2\beta +\cos 2\gamma +{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta \] \[+{{\sin }^{2}}\gamma \] \[=({{\cos }^{2}}\alpha -{{\sin }^{2}}\alpha )+({{\cos }^{2}}\beta -{{\sin }^{2}}\beta )\] \[+({{\cos }^{2}}\gamma -{{\sin }^{2}}\gamma )+{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma \] \[={{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma \] \[=1\]You need to login to perform this action.
You will be redirected in
3 sec