1. Trigonometry is the study of:
A) Circles
B) Angles and sides of triangles
C) Lines
D) Numbers
2. In a right triangle, the side opposite to right angle is called:
A) Hypotenuse
B) Base
C) Perpendicular
D) Height
3. The side opposite to angle θ is called:
A) Hypotenuse
B) Base
C) Perpendicular
D) Adjacent
4. The side adjacent to angle θ is called:
A) Hypotenuse
B) Opposite
C) Perpendicular
D) Base
5. sin θ is equal to:
A) Perpendicular / Hypotenuse
B) Base / Hypotenuse
C) Hypotenuse / Base
D) Base / Perpendicular
6. cos θ is equal to:
A) Perpendicular / Hypotenuse
B) Base / Hypotenuse
C) Hypotenuse / Base
D) Perpendicular / Base
7. tan θ is equal to:
A) Hypotenuse / Base
B) Base / Hypotenuse
C) Hypotenuse / Perpendicular
D) Perpendicular / Base
8. cosec θ is equal to:
A) sin θ
B) cos θ
C) 1 / sin θ
D) 1 / tan θ
9. sec θ is equal to:
A) 1 / cos θ
B) 1 / sin θ
C) tan θ
D) cot θ
10. cot θ is equal to:
A) tan θ
B) 1 / tan θ
C) sin θ
D) cos θ
11. Value of sin 30° is:
A) 1/2
B) √3/2
C) 1
D) 0
12. Value of cos 30° is:
A) 1/2
B) √3/2
C) 1
D) 0
13. Value of tan 45° is:
A) 0
B) 1/2
C) √3
D) 1
14. Value of cos 60° is:
A) √3/2
B) 1
C) 1/2
D) 0
15. Value of sin 90° is:
A) 0
B) 1
C) 1/2
D) √3/2
16. Value of tan 30° is:
A) 1/√3
B) √3
C) 1
D) 0
17. Value of tan 60° is:
A) 1/√3
B) √3
C) 1
D) 0
18. Value of cos 90° is:
A) 1
B) 1/2
C) √3/2
D) 0
19. Value of sin 0° is:
A) 1
B) 1/2
C) 0
D) √3/2
20. Value of tan 90° is:
A) 0
B) Not defined
C) 1
D) √3
21. Value of cot 45° is:
A) 1
B) 0
C) √3
D) 1/2
22. Value of sec 60° is:
A) 1
B) 2
C) √3
D) 2
23. Value of cosec 30° is:
A) 1
B) √3
C) 2
D) 1/2
24. sin²θ + cos²θ =
A) 1
B) 0
C) 2
D) θ
25. 1 + tan²θ =
A) sin²θ
B) sec²θ
C) cos²θ
D) cot²θ
26. 1 + cot²θ =
A) tan²θ
B) sin²θ
C) cosec²θ
D) sec²θ
27. sin θ / cos θ =
A) cot θ
B) sec θ
C) cosec θ
D) tan θ
28. cos θ / sin θ =
A) cot θ
B) tan θ
C) sec θ
D) cosec θ
29. tan θ × cot θ =
A) 0
B) 1
C) 2
D) θ
30. sec θ × cos θ =
A) 0
B) cos²θ
C) 1
D) sin θ
31. cosec θ × sin θ =
A) 0
B) cos θ
C) tan θ
D) 1
32. If sin θ = 1, then θ =
A) 90°
B) 0°
C) 45°
D) 30°
33. If cos θ = 0, then θ =
A) 0°
B) 30°
C) 90°
D) 60°
34. If tan θ = 1, then θ =
A) 30°
B) 45°
C) 60°
D) 90°
35. If sin θ = 1/2, then θ =
A) 30°
B) 60°
C) 45°
D) 90°
36. If cos θ = 1/2, then θ =
A) 30°
B) 45°
C) 90°
D) 60°
37. If tan θ = √3, then θ =
A) 30°
B) 45°
C) 60°
D) 90°
38. Which ratio is undefined at 90°?
A) sin θ
B) tan θ
C) cos θ
D) cosec θ
39. Which ratio is undefined at 0°?
A) cot θ
B) sin θ
C) cos θ
D) sec θ
40. sin θ × cosec θ =
A) 0
B) cos θ
C) tan θ
D) 1
41. cos θ × sec θ =
A) 0
B) 1
C) 2
D) θ
42. cot θ × tan θ =
A) 0
B) 2
C) 1
D) θ
43. Value of sin 60° is:
A) √3/2
B) 1/2
C) 1
D) 0
44. Value of cos 45° is:
A) 1
B) 1/√2
C) √3
D) 1/2
45. Value of tan 0° is:
A) 1
B) √3
C) Not defined
D) 0
46. Value of sec 0° is:
A) 0
B) √3
C) 1
D) 2
47. Value of cosec 90° is:
A) 0
B) 1
C) 2
D) √3
48. If sin θ = cos θ, then θ =
A) 45°
B) 30°
C) 60°
D) 90°
49. If tan θ = 0, then θ =
A) 30°
B) 45°
C) 60°
D) 0°
50. Trigonometric ratios are defined for:
A) Any triangle
B) Equilateral triangle
C) Right-angled triangle
D) Isosceles triangle