Final answer:
The cotangent of 336° is equal to the cotangent of -24° because -24° and 336° are coterminal angles.
Step-by-step explanation:
In trigonometry cotangent, which is represented as cot(θ), is the reciprocal of the tangent of the given angle. The key property to consider in this question is cot(θ) = cot(θ + 360°). This property is based on the periodicity of trigonometric function. Therefore, the cotangent of 336° will be the same as the cotangent of (336° - 360°), or cot(-24°). This is because -24° and 336° are coterminal angles, meaning they share the same terminal side in the standard position of an angle. Therefore, cot(336°) is accurately described by cot(-24°).
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