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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 11 Trigonometry CCSS: HSF-TF.A.3
Find [math]sec(495)[/math].
  1. [math]-sqrt(2) / 2 [/math]
  2. [math]1[/math]
  3. [math]− sqrt2 [/math]
  4. [math]-1[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
The side lengths of ΔABC are AB = 6 units, AC = 6 units, [math]BC = 6√2 [/math]units. What is the value of sin(B)?
Right Triangle ABC v2
  1. [math]1/2[/math]
  2. [math](√2)/2[/math]
  3. [math](√3)/2[/math]
  4. 1
Grade 11 Trigonometry CCSS: HSF-TF.A.3
The side lengths of ΔABC are AB = 3 units, AC = 3√3 units, BC = 6 units. What is the value of tan(B)?
Right Triangle ABC v1
  1. [math]1/2[/math]
  2. [math] (√3)/2[/math]
  3. √3
  4. [math] 1/(√3)[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of cos([math](35π)/4[/math])?
  1. [math](√2)/2[/math]
  2. -[math](√2)/2[/math]
  3. [math]1/2[/math]
  4. -[math]1/2[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of sin([math]π/4[/math])?
  1. 1
  2. [math]1/2[/math]
  3. [math](√2)/2[/math]
  4. [math](√3)/2[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of sin([math](3π)/2[/math])?
  1. 0
  2. 1
  3. -1
  4. [math]1/2[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
Which expression is equal to sin(π + x)?
  1. sin(x)
  2. - sin(x)
  3. cos(x)
  4. -cos(x)
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of tan([math](29π)/4[/math])?
  1. 1
  2. -1
  3. √3
  4. -√3
Grade 11 Trigonometry CCSS: HSF-TF.A.3
Find tan(570°).
  1. [math](√3)/3[/math]
  2. -[math](√3)/3[/math]
  3. √3
  4. -√3
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of tan([math]π/3[/math])?
  1. √3
  2. √2
  3. 1
  4. 0
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of cos([math](17π)/4[/math])?
  1. [math](√2)/2[/math]
  2. -[math](√2)/2[/math]
  3. [math]1/2[/math]
  4. -[math]1/2[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
In triangle ABC, cos(C) = [math]1/2[/math]. What is the value of AB if AC = 9 units?
Right Triangle ABC v3
  1. 9√3 units
  2. 18 units
  3. 9 units
  4. 6√3 units
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