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Trigonometric Identities – Double Angle, Half Angle, Product-to-Sum

Maths Higher · Grade 11 · Week 9 · 25 questions

Trigonometric Identities is a central Grade 11 mathematics chapter covering Double Angle, Half Angle, and Product-to-Sum. These methods reappear throughout Grade 12 and in board + competitive exam papers.

What you'll practise

  • Prove Double Angle
  • Solve Half Angle
  • Evaluate Product-to-Sum
  • Apply trigonometric identities concepts to NCERT exercise and exemplar problems
All 25 questions in this Trigonometric Identities – Double Angle, Half Angle, Product-to-Sum quiz

Grade 11 Maths HigherTrigonometric Identities – Double Angle, Half Angle, Product-to-Sum: 25 practice questions with instant scoring and explanations.

  1. Using the standard identity, the value of sin 2A is:
  2. Using the standard identity, the value of cos 2A is:
  3. Using the standard identity, the value of tan 2A is:
  4. Using the standard identity, the value of sin(A/2) is:
  5. Using the standard identity, the value of cos(A/2) is:
  6. Using the standard identity, the value of tan(A/2) is:
  7. sin A · sin B =
  8. cos A · cos B =
  9. sin A · cos B =
  10. Using the standard identity, the value of sin 120° is:
  11. If sin θ = 3/5 and θ is acute, then sin 2θ =
  12. Using the standard identity, the value of cos 120° is:
  13. If tan θ = 1/2, then tan 2θ =
  14. Using the standard identity, the value of sin 22.5° is:
  15. The identity 1 + cos 2A =
  16. The identity 1 - cos 2A =
  17. sin 2A/(1 + cos 2A) =
  18. If cos A = 3/5 (A in first quadrant), then cos 2A =
  19. Using the standard identity, the value of tan 15° is:
  20. cos A + cos B =
  21. sin A - sin B =
  22. sin²A - sin²B =
  23. If A = 30°, then sin 2A - cos 2A =
  24. tan(A/2) in terms of sin A and cos A is:
  25. sin 3A = 3 sin A - 4 sin³A is equivalent to:
Question 1 of 250 correct so far

Using the standard identity, the value of sin 2A is: