Alberta Diploma Exams · Mathematics 30-1

Trigonometry

20 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 20 questions

  1. Convert 270° to radians.
  2. What is the exact value of sin 45°?
  3. Convert 150° to radians.
  4. Convert 45° to radians.
  5. Which expression is equal to sin θ / cos θ?
  6. Which expression is equal to 1 - cos²θ?
  7. In a triangle, angle A = 45°, angle B = 90° and the side opposite A is 8 cm. What is the length of the side opposite B?
  8. A triangle has sides 3 cm, 8 cm and 7 cm. What is the angle between the sides of 3 cm and 8 cm?
  9. A triangle has sides 5 cm, 3 cm and 7 cm. What is the angle between the sides of 5 cm and 3 cm?
  10. A triangle has sides 3 cm, 5 cm and 7 cm. What is the angle between the sides of 3 cm and 5 cm?
  11. What is the exact value of cos 60°?
  12. What is the exact value of tan 30°?
  13. Convert 180° to radians.
  14. Convert 120° to radians.
  15. Which expression is equal to 1 - sin²θ?
  16. Which expression is equal to 1 + tan²θ?
  17. In a triangle, angle A = 30°, angle B = 90° and the side opposite A is 12 cm. What is the length of the side opposite B?
  18. Which expression is equal to tan θ cos θ?
  19. Which expression is equal to sin²θ + cos²θ?
  20. A triangle has sides 7 cm, 8 cm and 13 cm. What is the angle between the sides of 7 cm and 8 cm?

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