If sin θ = 1/2, then θ equals:
A90°
B45°
C60°
D30°
Answer & Solution
Correct answer: D. 30°
To find the value of $\theta$ given $\sin \theta = 1/2$, we refer to the trigonometric ratios of special angles (30°, 45°, and 60°).
1. **Recall the definition**: In a right-angled triangle, $\sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}}$.
2. **Special Triangle Analysis**: Consider a $30^\circ-60^\circ-90^\circ$ triangle. In this triangle, if the hypotenuse is $2$, the side opposite to the $30^\circ$ angle is $1$.
3. **Applying the ratio**:
$$\sin 30^\circ = \frac{1}{2}$$
4. **Comparison**: Since the problem states $\sin \theta = 1/2$, by comparing this to our known values, we conclude that $\theta = 30^\circ$.
Therefore, the correct option is **D**.
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