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Grade 10 · Trigonometry
Special Angles, Reciprocal Ratios & Trig Equations (Grade 10)
WORKSHEET
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  / 18

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

  1. 1
    Write down the value of sin 30° without using a calculator.
    (1)
  2. 2
    Evaluate sin 30° + cos 60° without using a calculator.
    (2)
  3. 3
    Evaluate tan 60° × cos 30° without using a calculator.
    (2)
  4. 4
    Write down the value of cosec30°.
    (1)
  5. 5
    Write down sec60°.
    (1)
  6. 6
    Write down cot45°.
    (1)
  7. 7
    Solve for θ if 2 sinθ = 1 and θ ∈ [0° ; 90°].
    (2)
  8. 8
    Solve for θ if 3 tanθ − 3 = 0 and θ ∈ [0° ; 90°].
    (3)
  9. 9
    Solve for θ if cos 2θ = 0,5 and θ ∈ [0° ; 90°].
    (3)
  10. 10
    Why is tan 90° undefined?
    (2)
TOTAL: 18 marks
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