Which is the correct value of cot(30௢ − 90௢)

The given expression is cot(30° - 90°).

Step 1: Simplify the expression inside the cotangent function.

30° - 90° = -60°

So, the expression becomes cot(-60°).

Step 2: Use the property of cotangent that cot(-θ) = -cot(θ) to simplify further.

cot(-60°) = -cot(60°)

Step 3: Evaluate cot(60°). The cotangent of 60 degrees is √3/3.

So, -cot(60°) = -√3/3.

Therefore, cot(30° - 90°) = -√3/3.