Questions and Answers
What is the definition of Tangent (tan)?
A Tangent (tan) is the Sine (sin), divided by the Cosine (cos). (sin)/(cos)
What is the definition of Cotangent (cot)?
A Cotangent (cot) is the Cosine (cos) divided by the Sine (sin). (cos)/(sin)
What is tan(0)?
0
What is tan(π/2)?
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What is tan(π)?
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What is tan(3π/2)?
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What is tan(2π)?
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What is tan(π/6)?
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What is tan(π/4)?
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What is tan(π/3)?
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What is tan(2π/3)?
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What is tan(3π/4)?
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What is tan(5π/6)?
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What is tan(7π/6)?
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What is tan(5π/4)?
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What is tan(4π/3)?
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What is tan(5π/3)?
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What is tan(7π/4)?
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What is tan(11π/6)?
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What is cot(0)?
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What is cot(π/2)?
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What is cot(π)?
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What is cot(3π/2)?
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What is cot(2π)?
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What is cot(π/6)?
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What is cot(π/4)?
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What is cot(π/3)?
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What is cot(2π/3)?
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What is cot(3π/4)?
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What is cot(5π/6)?
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What is cot(7π/6)?
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What is cot(5π/4)?
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What is cot(4π/3)?
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What is cot(5π/3)?
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What is cot(7π/4)?
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What is cot(11π/6)?
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Study Notes
Definitions
- Tangent (tan) is defined as the ratio of the sine (y-coordinate) to cosine (x-coordinate) of an angle: tan(θ) = sin(θ) / cos(θ).
- Cotangent (cot) is defined as the ratio of cosine (x-coordinate) to sine (y-coordinate) of an angle: cot(θ) = cos(θ) / sin(θ).
Tangent Values
- tan(0) equals 0.
- tan(π/2) is undefined.
- tan(π) equals 0.
- tan(3π/2) is undefined.
- tan(2π) equals 0.
- tan(π/6) equals √3/3.
- tan(π/4) equals 1.
- tan(π/3) equals √3.
- tan(2π/3) equals -√3.
- tan(3π/4) equals -1.
- tan(5π/6) equals -√3/3.
- tan(7π/6) equals √3/3.
- tan(5π/4) equals 1.
- tan(4π/3) equals √3.
- tan(5π/3) equals -√3.
- tan(7π/4) equals -1.
- tan(11π/6) equals -√3/3.
Cotangent Values
- cot(0) is undefined.
- cot(π/2) equals 0.
- cot(π) is undefined.
- cot(3π/2) equals 0.
- cot(2π) is undefined.
- cot(π/6) equals √3.
- cot(π/4) equals 1.
- cot(π/3) equals √3/3.
- cot(2π/3) equals -√3/3.
- cot(3π/4) equals -1.
- cot(5π/6) equals -√3.
- cot(7π/6) equals √3.
- cot(5π/4) equals 1.
- cot(4π/3) equals √3/3.
- cot(5π/3) equals -√3/3.
- cot(7π/4) equals -1.
- cot(11π/6) equals -√3.
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Description
This quiz covers tangent and cotangent functions, including their definitions, key values, and properties at specific angles. Test your understanding of these essential trigonometric concepts and their calculations. Ideal for students studying trigonometry in high school or college level courses.
