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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.C.9
What is the exact value of [math]cos(285°) ?[/math]
  1. [math]1/2 (1 - sqrt(2))[/math]
  2. [math]-1/4 (sqrt(6) - sqrt(2))[/math]
  3. [math]1/4 (sqrt(6)-sqrt(2))[/math]
  4. [math]1/4 (sqrt(2) + sqrt(6))[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
[math](-4pi)/3[/math] is equivalent to which of the following?
  1. [math](-2pi)/6[/math]
  2. [math](4pi)/3[/math]
  3. [math]pi/3[/math]
  4. [math](2pi)/3[/math]
Grade 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of [math]sin(105°) ?[/math]
  1. [math]1/2(sqrt(3)+sqrt(2))[/math]
  2. [math]1/4(sqrt(2)-sqrt(6))[/math]
  3. [math]1/4(sqrt(6)+sqrt(2))[/math]
  4. [math]1/4(sqrt(6)-sqrt(2))[/math]
Grade 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of [math]tan(165°) ?[/math]
  1. [math]2-sqrt(3)[/math]
  2. [math]-2-sqrt(3)[/math]
  3. [math]2+sqrt(3)[/math]
  4. [math]-2+sqrt(3)[/math]
Grade 12 Trigonometry CCSS: HSF-TF.A.1
Convert to radians.

[math]45deg[/math]
  1. [math]pi/4[/math]
  2. [math]pi/5[/math]
  3. [math]sqrt2/2pi[/math]
  4. none of the above
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
If AC is 15, AB is 17, and BC is 8, then find [math]cos(B)[/math].
Right Triangle ABC v3
  1. [math]8/15[/math]
  2. [math]15/8[/math]
  3. [math]8/17[/math]
  4. [math]15/17[/math]
Grade 11 Trigonometry CCSS: HSF-TF.C.8
If [math]tan(theta) = sqrt(11)/11[/math] and [math]pi < theta < (3pi)/2[/math], what is the value of [math]sec(theta) ?[/math]
  1. [math]-(2sqrt(33))/11[/math]
  2. [math]sqrt(110)/11[/math]
  3. [math](2sqrt(33))/11[/math]
  4. [math]-sqrt(110)/11[/math]
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