The value of cot 15° is :

• A) 0
• B) 1
• C) -1
• D) ½

The value of cotangent for an angle can be calculated using the relationship between cotangent and tangent. Cotangent is the reciprocal of tangent. For 15 degrees, we can find cot 15° using the formula:

Calculating Cotangent

We know that:

• cot(θ) = 1/tan(θ)

To find cot 15°, we first need to determine tan 15°. The value of tan 15° is approximately 0.2679. Therefore:

Finding Cot 15°

Using the reciprocal relationship:

• cot(15°) = 1/tan(15°) ≈ 1/0.2679 ≈ 3.732

Final Answer

Since none of the provided options (A) 0, (B) 1, (C) -1, or (D) ½ match the calculated value, the correct answer is not listed among the choices. However, if you are looking for a numerical approximation, cot 15° is approximately 3.732.