Questions and Answers
What is the value of sin(0)?
What is the value of sin(π/6)?
What is the value of sin(π/4)?
What is the value of sin(π/3)?
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What is the value of sin(π/2)?
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What is the value of cos(0)?
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What is the value of cos(π/6)?
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What is the value of cos(π/4)?
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What is the value of cos(π/3)?
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What is the value of tan(0)?
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What is the value of tan(π/4)?
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What is the value of tan(π/2)?
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What is the value of tan(π/3)?
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What is the value of tan(π)?
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Study Notes
Sine Function Values
- sin(0) = 0
- sin(π/6) = 1/2
- sin(π/4) = √2/2
- sin(π/3) = √3/2
- sin(π/2) = 1
- sin(2π/3) = √3/2
- sin(3π/4) = √2/2
- sin(5π/6) = 1/2
- sin(π) = 0
- sin(7π/6) = -1/2
- sin(5π/4) = -√2/2
- sin(4π/3) = -√3/2
- sin(3π/2) = -1
- sin(5π/3) = -√3/2
- sin(7π/4) = -√2/2
- sin(11π/6) = -1/2
- sin(2π) = 0
Cosine Function Values
- cos(0) = 1
- cos(π/6) = √3/2
- cos(π/4) = √2/2
- cos(π/3) = 1/2
- cos(π/2) = 0
- cos(2π/3) = -1/2
- cos(3π/4) = -√2/2
- cos(5π/6) = -√3/2
- cos(π) = -1
- cos(7π/6) = -√3/2
- cos(5π/4) = -√2/2
- cos(4π/3) = -1/2
- cos(3π/2) = 0
- cos(5π/3) = 1/2
- cos(7π/4) = √2/2
- cos(11π/6) = √3/2
- cos(2π) = 1
Tangent Function Values
- tan(0) = 0
- tan(π/6) = √3/3
- tan(π/4) = 1
- tan(π/3) = √3
- tan(π/2) = undefined
- tan(2π/3) = -√3
- tan(3π/4) = -1
- tan(5π/6) = -√3/3
- tan(π) = 0
- tan(7π/6) = √3/3
- tan(5π/4) = 1
- tan(4π/3) = √3
- tan(3π/2) = undefined
- tan(5π/3) = -√3
- tan(7π/4) = -1
- tan(11π/6) = -√3/3
- tan(2π) = 0
General Notes
- Sine values range from -1 to 1.
- Cosine values also range from -1 to 1.
- Tangent values can be undefined for angles where cosine is zero.
- Angles are often expressed in radians, which are essential for calculations in trigonometry, especially on the unit circle.
Studying That Suits You
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Description
Test your knowledge of trigonometric functions with this set of flashcards focusing on sine values on the unit circle. Each card presents an angle in radians along with its corresponding sine value. It's a great way to reinforce your understanding of trigonometric concepts.
