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Trigonometry Questions - All Grades

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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]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.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]
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]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 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of [math]sin(345°) ?[/math]
  1. [math]1/2(sqrt(2)-1)[/math]
  2. [math]-1/4 (sqrt(2)+sqrt(6))[/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.C.9
What is the exact value of [math]tan(255°) ?[/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 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of [math]cos(105°) ?[/math]
  1. [math](sqrt(2)-sqrt(6))/4[/math]
  2. [math]-(sqrt(2)+sqrt(6))/4[/math]
  3. [math]-1/2 + sqrt(6)/4[/math]
  4. [math](sqrt(6)-sqrt(2))/4[/math]
Grade 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of [math]tan(75°) ?[/math]
  1. [math]-2+sqrt(3)[/math]
  2. [math]2+sqrt(3)[/math]
  3. [math]1[/math]
  4. [math]2-sqrt(3)[/math]
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