德望學校 – S3數學 3B Chapter 9 Trigonometric Relations – CQ (14-19)

試卷答案:

1. 60°
2. 36/5
3. a) –
   b) -1
4. a) –
   b) sinθ = 3/5, cosθ = 4/5
5. \(tan\theta=\tfrac{\sqrt{14}}{7}, cos\theta=\tfrac{\sqrt{7}}{3}\)
6. a) –
   b) 25°
7. a) 1/3
   b) \(\tfrac{1-cos\phi}{sin\phi}\)
8. a) –
   b) \(\tfrac{sin\phi}{1+cos\phi}\)
9. \(sin\theta=\tfrac{\sqrt{11}}{4}, tan\theta=\tfrac{\sqrt{55}}{5}\)
10. \(\tfrac{\sqrt{3}}{3}\)
11. 3
12. 0.5
13. \(\tfrac{2\sqrt{5}}{9}\)
14. \(\sqrt{3}\)
15. \(\tfrac{2\sqrt{5}}{15}\)
16. a) –
    b) 60°
17. \(\tfrac{\sqrt{6}}{2}\)
18. a) –
    b) –
19. a) 10°
    b) 2
20. 1

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