If sinθ = \frac{1}{2} then cot θ = ?

Foundation

Mathematics Foundation

Introduction to Trigonometry

Question

If $sinθ = \frac{1}{2}$ then cot θ = ?

$\frac{1}{\sqrt{3}}$

$\sqrt{3}$

$\frac{\sqrt{3}}{2}$

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Given sin θ = 1/2, we know from standard trigonometric ratios that θ = 30° (or π/6 radians).

Cotangent is the reciprocal of tangent. tan 30° = 1/√3, therefore:

cot θ = 1 / tan θ = $\frac{1}{\frac{1}{\sqrt{3}}}$ = $\sqrt{3}$

Final Answer: $\sqrt{3}$