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Eleventh Grade (Grade 11) Trigonometry Questions

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Grade 11 Trigonometry CCSS: HSG-SRT.D.10
In ΔLMN, LM=7.5 units, MN=6 units, and m∠L=49°. Using the law of sines and the given information, which of the following is true?
  1. No such triangle exists.
  2. These measurements result in a unique triangle.
  3. These measurements result in two possible triangles.
  4. The law of sines cannot be used in this situation.
Grade 11 Trigonometry CCSS: HSF-TF.A.3
For triangle ABC, cos(C)=1√2. 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 11 Trigonometry
Using SOH CAH TOA, what does the first part, SOH, stand for?
  1. sine=adjacent/hypotenuse
  2. sine=hypotenuse/opposite
  3. sine=opposite/adjacent
  4. sine=opposite/hypotenuse
Grade 11 Trigonometry CCSS: HSF-TF.C.8
Which of the following is an alternate form of the Pythagorean Identity? Choose all correct answers.
  1. tan2(θ)+sin2(θ)=1
  2. tan2(θ)+1=sec2(θ)
  3. 1+sec2(θ)=cot2(θ)
  4. 1+cot2(θ)=csc2(θ)
Grade 11 Trigonometry
Which expression is equivalent to 1cos2θ-1?
  1. csc2θ
  2. -csc2θ
  3. sin2θ
  4. -sin2θ
Grade 11 Trigonometry CCSS: HSF-TF.A.1
Convert 210 degrees into radians.
  1. 9π2
  2. 3π8
  3. 125π
  4. 7π6
  5. none of these are correct
Grade 11 Trigonometry
Convert 13π36 to degrees.
  1. 90
  2. 125
  3. 65
  4. 275
  5. none of these are correct
Grade 11 Trigonometry CCSS: HSF-BF.B.3, HSF-TF.B.5
State the amplitude of the function y=13cos(x-2).
  1. 13
  2. π
  3. -2
  4. -π
  5. none of these are correct
Grade 11 Trigonometry
Using SOH CAH TOA, what does CAH stand for?
  1. cosine=opposite/hypotenuse
  2. cosine=adjacent/opposite
  3. cosine=opposite/adjacent
  4. cosine=adjacent/hypotenuse
Grade 11 Trigonometry CCSS: HSF-BF.B.3
If the base graph of y=cosx was stretched to an amplitude of 4 and a period of 3π, what would be the new function?
  1. y=14cos3x
  2. y=4+cos(32x)
  3. y=cos(3x-4)
  4. y=4cos(23x)
  5. none of these are correct
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
If AC is 12, AB is 9, and BC is 15, then what is cos(C)?
Right Triangle ABC v1
  1. 43
  2. 45
  3. 35
  4. 34
Grade 11 Trigonometry
Solve for d.
sin52=d32
  1. 1664
  2. 19.7
  3. 25.2
  4. 41
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