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If A=[costheta-sinthetasinthetacostheta]...

If `A=[costheta-sinthetasinthetacostheta]` , then find the values of `theta` satisfying the equation `A^T+A=I_2` .

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`A^T=[[cos theta, sin theta], [-sin theta, cos theta]]`
`A+A^T=[[2 cos theta, 0], [0, 2 cos theta]]=[[1, 0], [0, 1]]`
`2 cos theta=1=>theta=pi/3`
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