5. The angle \(x\) and the angle \(y\) are such that
$$\tan x = m \text { and } 4 \tan y = 8 m + 5$$
where \(m\) is a constant.
Given that \(16 \sec ^ { 2 } x + 16 \sec ^ { 2 } y = 537\)
- find the two possible values of \(m\).
Given that the angle \(x\) and the angle \(y\) are acute, find the exact value of
- \(\sin x\)
- \(\cot y\)