Question

if \\(\cot 43^{\circ} = 1.072\\), what is \\(\cot(-43^{\circ})\\)?

Explanation:

⚡ Using what you learned: Trigonometric Identities

Step 1: Identify the identity for negative angles

The cotangent function is an odd function, which means:

$$ \cot(-\theta) = -\cot(\theta) $$

Step 2: Substitute the given value

Given \( \cot(43^\circ) = 1.072 \):

$$ \cot(-43^\circ) = -\cot(43^\circ) $$

$$ \cot(-43^\circ) = -1.072 $$

Answer:

-1.072