If sin x = 0.5, what is x (acute)?

**The reasoning** When sin x = 0.5, you need to recall your **special angles**. From basic trigonometry: - sin 30° = 1/2 = 0.5 - sin 45° = √2/2 ≈ 0.707 - sin 60° = √3/2 ≈ 0.866 - sin 90° = 1 So when sin x = 0.5, we're looking for which angle gives us exactly 1/2. That's **30°**. Think of a 30-60-90 triangle: the side opposite the 30° angle is exactly half the hypotenuse. Since sine = opposite/hypotenuse, sin 30° = 1/2. **Why the wrong options tempt you** - **45°** catches students who confuse it with tan 45° = 1 - **60°** tricks those who mix up sin 30° and sin 60° (they're partners: sin 30° = cos 60°) - **90°** tempts anyone thinking "bigger angle = 0.5 halfway to 1" (but sin 90° = 1, not 0.5!) **Quick takeaway** Master your special angles like you know your phone number: **sin 30° = 0.5** is one you'll use repeatedly in JAMB and WAEC—burn it into your memory!