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Maths
1. Prove that the square of any positive integer is of the formsq, 59+1,5q+4 for some integerq
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[tex]\left| \begin{array}{cc} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{array} \right| = 1[/tex]
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[tex]\begin{array}{| c | c | c |} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}[/tex]
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[tex]\begin{array}{| c | c | c |} \cline{1-3} 1 & 2 & 3 \\ \cline{1-3} 4 & 5 & 6 \\ \cline{1-3} 7 & 8 & 9 \\ \cline{1-3} \end{array}[/tex]
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cos theta minus sin theta is equal to zero
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