sin 30° = ?

**The reasoning** The sine of an angle in a right-angled triangle is the ratio: **opposite side ÷ hypotenuse**. For 30°, imagine a special triangle (the 30-60-90 triangle). It has sides in the ratio 1 : √3 : 2. When the angle is 30°: - Opposite side = 1 - Hypotenuse = 2 So: sin 30° = 1/2 This is a **standard value** you must memorize. It appears constantly in JAMB, WAEC, and Post-UTME! **Why the wrong options tempt you** - **B) √3/2** — This is sin 60° or cos 30°. Easy to mix up the special angles if you don't practice. - **C) 1** — That's sin 90°. Students sometimes think "30 is close to zero, maybe sin is 1?" Wrong direction! - **D) 0** — That's sin 0°. Confusing which angle gives which value. **Quick takeaway** Burn this into memory: **sin 30° = 1/2, cos 30° = √3/2, tan 30° = 1/√3**. The 30-60-90 triangle is your best friend in trigonometry!