Find All Values of θ, If θ Is in the Interval

question 235

Multiple Choice

Find all values of θ, if θ is in the interval [0, 360°) and has the given function value.
- $\cot \theta = 1$

• A) \(225 ^ { \circ }\) and \(315 ^ { \circ }\)
• B) \(135 ^ { \circ }\) and \(225 ^ { \circ }\)
• C) \(45 ^ { \circ }\) and \(225 ^ { \circ }\)
• D) \(45 ^ { \circ }\) and \(315 ^ { \circ }\)

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Definitions:

Homeostatic Control

The process by which the body maintains a stable internal environment despite changes in external conditions, involving feedback mechanisms.

Receptor

A protein molecule that receives and responds to chemical signals, such as hormones or neurotransmitters.

Mechanism

A system or structure that performs a specific function or process, often referring to the mechanical or biochemical processes in scientific contexts.

Longitudinal

Pertaining to the length; running along the long axis of a body or structure.