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If `A=[(costheta,-sintheta),(sintheta,costheta)],` then find the values of `theta` satisfying the equation `A^T+A=I_2dot`

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We have ,`A=[[costheta,-sintheta],[sintheta,costheta]]`

`A^T=[[costheta,sintheta],[-sintheta,costheta]]`

or `A+A^T=[[2costheta,0],[0,2costheta]]=[[1,0],[0,1]]`

or `2costheta=1`

...
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