10th class Mathematics, Chapter 7: Trigonometry MCQs

1. What is the value of cot 60°?

1. (A) 0
2. (B) 1
3. (C) √3
4. (D) 1/√3 ✓

2. All trigonometric ratios are positive in:

1. (A) I-quadrant ✓
2. (B) II-quadrant
3. (C) III-quadrant
4. (D) IV-quadrant

3. cosec θ is positive in:

1. (A) I & III-quadrants
2. (B) II & IV-quadrants
3. (C) I & II-quadrants ✓
4. (D) I & IV-quadrants

4. sin (90° + θ) =

1. (A) sin θ
2. (B) −sin θ
3. (C) cos θ ✓
4. (D) −cos θ

5. tan (180° − θ) =

1. (A) tan θ
2. (B) cot θ
3. (C) −cot θ
4. (D) −tan θ ✓

6. The law of sines is:

1. (A) b/sin α = a/sin β = c/sin γ
2. (B) a/sin α = c/sin β = b/sin γ
3. (C) a/sin α = b/sin β = c/sin γ ✓
4. (D) a/sin α = a/sin β = a/sin γ

7. The law of cosines is:

1. (A) cos α = (b² + a² − c²)/(2ab)
2. (B) cos β = (c² + b² − a²)/(2cb)
3. (C) cos γ = (a² + b² − c²)/(2ab) ✓
4. (D) cos γ = (ca² + b² − c²)/(2ab)

8. Area of △ABC =

1. (A) ½ab sin α
2. (B) ½bc sin β
3. (C) ½ sin γ
4. (D) ½ac sin β ✓

9. Bearing is measured from:

1. (A) East
2. (B) West
3. (C) North ✓
4. (D) South

10. Bearing is written as a:

1. (A) 1 figure
2. (B) 2 figures
3. (C) 3 figures ✓
4. (D) 4 figures

11. The value of sin 30° is:

1. (A) 1
2. (B) 1/2 ✓
3. (C) √3/2
4. (D) 1/√2

12. The value of tan 45° is:

1. (A) 1/√3
2. (B) 1 ✓
3. (C) 0
4. (D) √3

13. cos 60° equals:

1. (A) 1/√2
2. (B) 0
3. (C) 1/2 ✓
4. (D) √3/2

14. sec θ is the reciprocal of:

1. (A) tan θ
2. (B) cot θ
3. (C) cos θ ✓
4. (D) sin θ

15. In the second quadrant the only positive ratios are:

1. (A) cos θ and sec θ
2. (B) tan θ and cot θ
3. (C) all six ratios
4. (D) sin θ and cosec θ ✓

16. tan θ is positive in the quadrants:

1. (A) II and IV
2. (B) III and IV
3. (C) I and III ✓
4. (D) I and II

17. The sign of cos 200° is:

1. (A) negative ✓
2. (B) positive
3. (C) zero
4. (D) undefined

18. The value of cos 180° is:

1. (A) 0
2. (B) undefined
3. (C) −1 ✓
4. (D) 1

19. tan 90° is:

1. (A) −1
2. (B) undefined ✓
3. (C) 0
4. (D) 1

20. sin 180° equals:

1. (A) −1
2. (B) undefined
3. (C) 0 ✓
4. (D) 1