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Trigonometry - Identities

Maths · Grade 10 · Week 31 · 25 questions

Trigonometry connects angles and side lengths in triangles — it's the mathematics behind navigation, physics, and engineering. Mastering the basic ratios opens up a powerful set of problem-solving tools.

What you'll practise

  • Calculate sine, cosine, and tangent ratios
  • Solve right triangles using trigonometric ratios
  • Apply trigonometric identities
  • Use trigonometry in real-world problems
All 25 questions in this Trigonometry - Identities quiz

Grade 10 MathsTrigonometry - Identities: 25 practice questions with instant scoring and explanations.

  1. Simplify: sin²θ + cos²θ
  2. Simplify: 1 + tan²θ
  3. Simplify: 1 + cot²θ
  4. Simplify: sec²θ - tan²θ
  5. Simplify: cosec²θ - cot²θ
  6. Simplify: (sinθ + cosθ)² + (sinθ - cosθ)²
  7. Simplify: sinθ/cosθ
  8. Simplify: cosθ/sinθ
  9. If θ = 15°, what is sin²θ + cos²θ?
  10. If θ = 20°, what is sin²θ + cos²θ?
  11. If θ = 25°, what is sin²θ + cos²θ?
  12. If θ = 35°, what is sin²θ + cos²θ?
  13. If θ = 40°, what is sin²θ + cos²θ?
  14. If θ = 50°, what is sin²θ + cos²θ?
  15. If θ = 55°, what is sin²θ + cos²θ?
  16. If θ = 65°, what is sin²θ + cos²θ?
  17. If θ = 70°, what is sin²θ + cos²θ?
  18. If θ = 75°, what is sin²θ + cos²θ?
  19. If θ = 80°, what is sin²θ + cos²θ?
  20. If sinθ = 3/5, what is cosθ?
  21. If sinθ = 5/13, what is cosθ?
  22. If cosθ = 8/17, what is sinθ?
  23. If tanθ = 3/4, what is sinθ?
  24. If tanθ = 5/12, what is cosθ?
  25. If cosθ = 7/25, what is sinθ?
Question 1 of 250 correct so far

Simplify: sin²θ + cos²θ