The values of the determinant \[\left| \,\begin{matrix} 1 & \cos (\alpha -\beta ) & \cos \alpha \\ \cos (\alpha -\beta ) & 1 & \cos \beta \\ \cos \alpha & \cos \beta & 1 \\ \end{matrix}\, \right|\] is [UPSEAT 2003]

\[{{\alpha }^{2}}+{{\beta }^{2}}\]

\[{{\alpha }^{2}}-{{\beta }^{2}}\]

The values of the determinant \[\left| \,\begin{matrix} 1 & \cos

1.	The values of the determinant \[\left\| \,\begin{matrix} 1 & \cos (\alpha -\beta ) & \cos \alpha \\ \cos (\alpha -\beta ) & 1 & \cos \beta \\ \cos \alpha & \cos \beta & 1 \\ \end{matrix}\, \right\|\] is [UPSEAT 2003]
A.	\[{{\alpha }^{2}}+{{\beta }^{2}}\]
B.	\[{{\alpha }^{2}}-{{\beta }^{2}}\]
C.	1
D.	0
Answer» E.

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The values of the determinant \[\left| \,\begin{matrix} 1 & \cos (\alpha -\beta ) & \cos \alpha \\ \cos (\alpha -\beta ) & 1 & \cos \beta \\ \cos \alpha & \cos \beta & 1 \\ \end{matrix}\, \right|\] is [UPSEAT 2003]

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