if cot 36° = 1.376, what is cot(-36°)?

Answer

Explanation:

Step1: Recall the property of cotangent function

The cotangent function is an odd function, which means that (\cot(-\theta)=-\cot(\theta)) for any angle (\theta) where (\cot(\theta)) is defined.

Step2: Apply the odd function property

Given that (\cot(36^{\circ}) = 1.376), we want to find (\cot(-36^{\circ})). Using the property of odd functions, we substitute (\theta = 36^{\circ}) into (\cot(-\theta)=-\cot(\theta)). So, (\cot(-36^{\circ})=-\cot(36^{\circ})).

Step3: Substitute the given value

Since (\cot(36^{\circ}) = 1.376), we have (\cot(-36^{\circ})=- 1.376).

Answer:

(-1.376)