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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
In triangle ABC, sin(C)=12. If AC=6 units, what is the length of ¯BC?
Right Triangle ABC v2
  1. 2 units
  2. 23 units
  3. 12 units
  4. 43 units
Grade 11 Trigonometry CCSS: HSF-TF.A.3
In triangle ABC tan(B)=3. What is the length of ¯BC if AB=14 unit?
Right Triangle ABC v3
  1. 18 unit
  2. 312 units
  3. 43 units
  4. 1 unit
Grade 11 Trigonometry CCSS: HSF-TF.A.3
Find sec(495).
  1. -22
  2. 1
  3. 2
  4. -1
Grade 11 Trigonometry CCSS: HSF-TF.A.3
For triangle ABC, cos(C)=12. What is the value of BC if AC=3 units?
Right Triangle ABC v2
  1. 2 units
  2. 32 units
  3. 6 units
  4. 1 unit
Grade 12 Trigonometry CCSS: HSF-TF.A.3
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of tan(π)?
  1. -12
  2. 22
  3. 1
  4. 0
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of sin(5π2)?
  1. -32
  2. 22
  3. 1
  4. 0
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of tan(5π4)?
  1. -32
  2. 22
  3. 1
  4. 0
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of sin(π6)?
  1. -12
  2. 22
  3. 32
  4. 12
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of tan(7π4)?
  1. -1
  2. -22
  3. 1
  4. 22
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of cos(π6)?
  1. 1
  2. 22
  3. 32
  4. 23
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of sin(5π4)?
  1. -1
  2. -22
  3. -32
  4. 22
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of sin(π3)?
  1. 1
  2. 22
  3. 32
  4. 23
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