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Grade 11 · Trigonometry
Trig Equations & General Solutions (Grade 11)
WORKSHEET
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  / 22

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Determine the general solution of sinθ = 0,5
    (3)
  2. 2
    Determine the general solution of cosθ = −0,5
    (3)
  3. 3
    Determine the general solution of tanθ = √3
    (2)
  4. 4
    Solve sinθ = 0,5 for θ ∈ [0° ; 360°]
    (2)
  5. 5
    Solve cosθ = 0,7660 for θ ∈ [0° ; 360°] (round to one decimal)
    (3)
  6. 6
    Determine the general solution of tan(2x − 30°) = 1
    (3)
  7. 7
    State the reference angle for sinθ = 0,8660.
    (1)
  8. 8
    Determine the general solution of sin 2θ = cosθ.
    (4)
  9. 9
    Why must k ∈ ℤ be written down?
    (1)
TOTAL: 22 marks
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