JAMIA 2026 — Mathematics PYQ

1. Recall Standard Trigonometric Values:

From the standard trigonometric ratios table:

• $\sin 30^{\circ }=\frac{1}{2}$

• $\cos 30^{\circ }=\frac{\sqrt{3}}{2}$

2. Substitute and Simplify:

Substitute these values into the given expression:

$$\sin 30^{\circ }-\cos 30^{\circ }=\frac{1}{2}-\frac{\sqrt{3}}{2}$$

Since the denominators are equal, combine the numerators directly:

$$\sin 30^{\circ }-\cos 30^{\circ }=\frac{1-\sqrt{3}}{2}$$

Correct Answer

Option (d) $\frac{1-\sqrt{3}}{2}$