- #1
syj
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Homework Statement
I have
[tex]
J=\begin{bmatrix}
\frac{\pi}{2}&0&0\\
1&\frac{\pi}{2}&0\\
0&1&\frac{\pi}{2}\\
\end{bmatrix}
[/tex]
I need to find [tex] \sin(J) \text{ and } \cos(J) \text{ and show that } \sin^{2}(J)+\cos^{2}(J)=I
[/tex]
Homework Equations
The Attempt at a Solution
I have the following:
[tex]
\sin(J)=
\begin{bmatrix}
1&0&0\\
0&1&0\\
0&0&1\\
\end{bmatrix}
[/tex]
and
[tex]
\cos(J)=
\begin{bmatrix}
0 & 0 & 0\\
0 & 0 & 0\\
0 & 0 & 0\\
\end{bmatrix}
[/tex]
I don't know if this is correct. All the questions I have examples of have more than one eigenvalue, this one only has one eigenvalue.