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Trigonometry Questions - All Grades

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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 10 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (-1,-4) and the x-axis, find tanθ.
  1. tanθ=-4√17
  2. tanθ=-1√17
  3. tanθ=4
  4. tanθ=-14
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
Grade 10 Trigonometry CCSS: HSF-IF.B.4
Given the domain -π<x<π, at what interval(s) is slope of the function f(x)=sinx positive?
  1. 0<x<π
  2. -π<x<0
  3. -12π<x<12π
  4. -π<x<-12π,12π<x<π
Grade 12 Trigonometry CCSS: HSG-SRT.D.10
Given ΔABC, where a=4,b=15,c=13, find m∠B.
Scalene Triangle ABC v3
  1. 112.62°
  2. 53.15°
  3. 14.25°
  4. 97.87°
Grade 11 Trigonometry CCSS: HSG-SRT.D.10
In ΔXYZ, XY=12 units, YZ=15 units, and m∠X=50°. 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
Simplify sinx cscx .
  1. sin2x
  2. -1
  3. tanx
  4. 1
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