A

Step 1: Calculate cosec 315°
cosec(θ) = \frac{1}{sin(θ)}
sin(315°) = sin(360° - 45°) = -sin(45°) = -\frac{\sqrt{2}}{2}
cosec(315°) = \frac{1}{sin(315°)} = \frac{1}{-\frac{\sqrt{2}}{2}} = -\frac{2}{\sqrt{2}} = -\sqrt{2}

Step 2: Calculate cos 210°
cos(210°) = cos(180° + 30°) = -cos(30°) = -\frac{\sqrt{3}}{2}

Step 3: Calculate sin(-330°)
sin(-330°) = -sin(330°)
sin(330°) = sin(360° - 30°) = -sin(30°) = -\frac{1}{2}
Therefore, sin(-330°) = \frac{1}{2}

Final Summary of Results:
cosec(315°) = -\sqrt{2}, cos(210°) = -\frac{\sqrt{3}}{2}, sin(-330°) = \frac{1}{2}.
Thus, the values of the T-ratios are:
(i) -\sqrt{2}
(ii) -\frac{\sqrt{3}}{2}
(iii) \frac{1}{2}.