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Trigonometry Questions - All Grades

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Grade 11 Trigonometry CCSS: HSF-TF.A.3
In triangle ABC, [math]sin(C) = 1/2[/math]. If [math]AC = 6 \ "units"[/math], what is the length of [math]bar{BC} ?[/math]
Right Triangle ABC v2
  1. [math]2 \ "units"[/math]
  2. [math]2sqrt(3) \ "units"[/math]
  3. [math]12 \ "units"[/math]
  4. [math]4sqrt(3) \ "units"[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Based on the unit circle, what is the sine of the angle [math](5π)/3[/math] radians?
  1. [math]-(√3)/2[/math]
  2. [math]1/2[/math]
  3. [math](√3)/2[/math]
  4. [math]-1/2[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.1
Convert 162° degrees to radians.
  1. [math](8π)/9[/math]
  2. [math](17π)/(18)[/math]
  3. [math](19π)/(20)[/math]
  4. [math](9π)/10[/math]
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
Given that cos θ = 1/2, what is the value of sin θ?
  1. √2/2
  2. √3/2
  3. 1/√2
  4. 1/√3
Grade 11 Trigonometry CCSS: HSF-TF.A.3
What is the value of tan([math](2π)/3[/math])?
  1. [math]√3[/math]
  2. -[math]√3[/math]
  3. [math](√3)/3[/math]
  4. -[math](√3)/3[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.3
In triangle ABC, tan(B) = √3. If AC = 9 units, what is the length of BC?
Right Triangle ABC v1
  1. 3√3 units
  2. 9√3 units
  3. 6√3 units
  4. 12 units
Grade 11 Trigonometry CCSS: HSF-TF.A.3
In triangle ABC, tan(C) = 1. What is the value of AB if AC = 7 units?
Right Triangle ABC v2
  1. 7√2 units
  2. -7√2 units
  3. 7 units
  4. 14 units
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