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Trigonometry Questions - All Grades

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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. 2√3 units
  3. 12 units
  4. 4√3 units
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 10 Trigonometry CCSS: HSF-IF.C.7c
Which of the following is true for all values of θ?
  1. sin θ = cos θ
  2. tan θ = cos θ
  3. sin^2 θ + cos^2 θ = 1
  4. sec θ = tan θ
Grade 11 Trigonometry CCSS: HSF-TF.A.2
-4π3 is equivalent to which of the following?
  1. -2π6
  2. 4π3
  3. π3
  4. 2π3
Grade 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of cos(285°)?
  1. 12(1-√2)
  2. -14(√6-√2)
  3. 14(√6-√2)
  4. 14(√2+√6)
Grade 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of sin(105°)?
  1. 12(√3+√2)
  2. 14(√2-√6)
  3. 14(√6+√2)
  4. 14(√6-√2)
Grade 12 Trigonometry CCSS: HSF-TF.A.1
Convert to radians.

45°
  1. π4
  2. π5
  3. √22π
  4. none of the above
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the inverse of the sine function?
  1. cosine
  2. tangent
  3. secant
  4. arcsine
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
If AC is 15, AB is 17, and BC is 8, then find cos(B).
Right Triangle ABC v3
  1. 815
  2. 158
  3. 817
  4. 1517
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