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Eleventh Grade (Grade 11) Trigonometry Questions

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Grade 11 Trigonometry CCSS: HSG-SRT.C.7, HSG-SRT.C.8
Grade 11 Trigonometry CCSS: HSG-SRT.C.7
ΔFGH is a right triangle and G is a right angle. If cos(F)=cos(H), what are the measures of the acute angles in this triangle?
  1. They are both equal and can be anything less than 45° (and greater than 0°).
  2. They are both 45°.
  3. The angles measures are 30° and 60°.
  4. No such triangle exists.
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Grade 11 Trigonometry
In radians, xo=
  1. π180x
  2. 180πx
  3. 180xπ
  4. πx180
Grade 11 Trigonometry CCSS: HSF-TF.A.1
How many radians are equivalent to 315°?
  1. π
  2. 7π4
  3. 7π6
  4. 5π4
Grade 11 Trigonometry CCSS: HSF-TF.A.4
Which of the following are equal to sin(π4)? Choose all that apply.
  1. sin(-7π4)
  2. sin(17π4)
  3. sin(13π4)
  4. sin(5π4)
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Which of the following is coterminal to -5π12 ?
  1. -7π12
  2. 5π12
  3. 7π12
  4. 17π12
  5. 19π12
Grade 11 Trigonometry CCSS: HSF-TF.A.3
In triangle ABC tan(B)=3. What is the length of ¯BC if AB=14 unit?
Right Triangle ABC v3
  1. 18 unit
  2. 312 units
  3. 43 units
  4. 1 unit
Grade 11 Trigonometry CCSS: HSG-SRT.C.7
Referring to ΔABC, what is the value of sin(B)+cos(C)2, fully simplified?
Right Triangle ABC v1
  1. AC2BC
  2. AC+AB2BC
  3. ABBC
  4. ACBC
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