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Grade 10 · Trigonometry
Trig Ratios for Any Angle: CAST & Reference Angles (Grade 10)
WORKSHEET
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  / 29

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

  1. 1
    Write down the quadrant in which 235° lies, and state which of sin, cos and tan is positive there.
    (2)
  2. 2
    Determine the reference angle for θ = 295°.
    (2)
  3. 3
    Evaluate cos 150° without using a calculator.
    (3)
  4. 4
    Evaluate tan 225° without using a calculator.
    (3)
  5. 5
    P(−8 ; −6) lies on the arm of θ. Determine sinθ, cosθ and tanθ.
    (4)
  6. 6
    If cosθ = 8/17 and sinθ < 0, determine sinθ and tanθ.
    (4)
  7. 7
    Write down the value of cosec 30°.
    (2)
  8. 8
    Explain why sec 90° is undefined.
    (2)
  9. 9
    Evaluate cosec 210° without using a calculator.
    (3)
  10. 10
    Without using a calculator, show that sin 150° + cos 300° = 1.
    (4)
TOTAL: 29 marks
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