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Common Core Standard HSF-TF.A.3 Questions

(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.

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Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (3pi/2)[/math]?
  1. [math]-1[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]1/2[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of tangent [math] (pi)[/math]?
  1. [math]-1/2[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]0[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (5pi/2)[/math]?
  1. [math]-sqrt3/2[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]0[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of tangent [math] (5pi/4)[/math]?
  1. [math]-sqrt3/2[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]0[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (pi/6)[/math]?
  1. [math]-1/2[/math]
  2. [math]sqrt2/2[/math]
  3. [math]sqrt3/2[/math]
  4. [math]1/2[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of tangent [math] (7pi/4)[/math]?
  1. [math]-1[/math]
  2. [math]-sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]sqrt2/2[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of cosine [math] (pi/6)[/math]?
  1. [math]1[/math]
  2. [math]sqrt2/2[/math]
  3. [math]sqrt3/2[/math]
  4. [math]2/sqrt3[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (5pi/4)[/math]?
  1. [math]-1[/math]
  2. [math]-sqrt2/2[/math]
  3. [math]-sqrt3/2[/math]
  4. [math]sqrt2/2[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (pi/3)[/math]?
  1. [math]1[/math]
  2. [math]sqrt2/2[/math]
  3. [math]sqrt3/2[/math]
  4. [math]2/sqrt3[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of tangent [math] (pi/4)[/math]?
  1. [math]1[/math]
  2. [math]sqrt2/2[/math]
  3. [math]sqrt3/2[/math]
  4. [math]2/sqrt2[/math]

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