Math Problem Statement
cot (-5pi/6)
Solution
The value of can be calculated as follows:
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Understanding the angle: In the third quadrant, cotangent is positive, because , and both sine and cosine are negative, making their ratio positive.
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Reference angle: The reference angle for is .
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Cotangent of the reference angle:
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Sign: Since the cotangent function is positive in the third quadrant, the value of is the same as .
Thus, .
Do you need further details or have any questions?
Here are five related questions:
- What is the value of ?
- How do you calculate ?
- What is the general formula for cotangent in different quadrants?
- Can you derive cotangent from sine and cosine?
- How do you convert angles between radians and degrees?
Tip: Remember that cotangent is the reciprocal of tangent, i.e., .
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Cotangent Function
Reference Angles
Quadrants
Formulas
cot(θ) = 1/tan(θ)
Reference angle: |θ|
cot(π/6) = √3
Theorems
Cotangent in different quadrants
Reciprocal identity of tangent and cotangent
Suitable Grade Level
Grades 10-12