SSC CGL Trigonometry Practice Test 1
15 SSC CGL trigonometry questions on standard values, identities, and complementary angle relations.
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SSC CGL Trigonometry Practice Test 1
15 SSC CGL trigonometry questions on standard values, identities, and complementary angle relations.
Preview all 15 questions in SSC CGL Trigonometry Practice Test 1 (no login required)
- Standard Angle
1. The value of cos 60° is:
- A. 0
- B. 1/2 (Correct)
- C. √3/2
- D. 1
Explanation: cos 60° is 1/2.
- Standard Angle
2. The value of tan 30° is:
- A. 1/√3 (Correct)
- B. 1
- C. √3
- D. 1/2
Explanation: tan 30° = 1/√3.
- Identity
3. sin² A + cos² A is equal to:
- A. 0
- B. 1 (Correct)
- C. tan A
- D. sec A
Explanation: This is the basic trigonometric identity.
- Complementary Angle
4. sin 35° is equal to:
- A. cos 35°
- B. cos 55° (Correct)
- C. tan 55°
- D. sec 35°
Explanation: sin θ = cos (90° - θ).
- Standard Angle
5. The value of sec 60° is:
- A. 1/2
- B. 1
- C. 2 (Correct)
- D. √3
Explanation: sec 60° = 1 / cos 60° = 2.
- Identity
6. If tan A = 1, then A may be:
- A. 30°
- B. 45° (Correct)
- C. 60°
- D. 90°
Explanation: tan 45° = 1.
- Standard Angle
7. The value of cosec 30° is:
- A. 1
- B. 2 (Correct)
- C. √3
- D. 1/2
Explanation: cosec 30° = 1 / sin 30° = 2.
- Complementary Angle
8. cos 20° is equal to:
- A. sin 20°
- B. sin 70° (Correct)
- C. tan 70°
- D. sec 20°
Explanation: cos θ = sin (90° - θ).
- Identity
9. 1 + tan² A is equal to:
- A. sec² A (Correct)
- B. cosec² A
- C. cot² A
- D. sin² A
Explanation: 1 + tan² A = sec² A.
- Standard Angle
10. The value of cos 0° is:
- A. 0
- B. 1/2
- C. 1 (Correct)
- D. Undefined
Explanation: cos 0° = 1.
- Standard Angle
11. The value of tan 45° + sin 30° is:
- A. 1
- B. 3/2 (Correct)
- C. √3/2
- D. 2
Explanation: tan 45° = 1 and sin 30° = 1/2, so sum = 3/2.
- Ratio
12. If sin A = 3/5, then cos A is:
- A. 3/5
- B. 4/5 (Correct)
- C. 5/4
- D. 5/3
Explanation: Using a 3-4-5 triangle, cos A = adjacent/hypotenuse = 4/5.
- Ratio
13. If cos A = 12/13, then tan A is:
- A. 5/12 (Correct)
- B. 12/5
- C. 13/5
- D. 5/13
Explanation: Using a 5-12-13 triangle, tan A = perpendicular/base = 5/12.
- Standard Angle
14. The value of sin 90° is:
- A. 0
- B. 1/2
- C. 1 (Correct)
- D. √3/2
Explanation: sin 90° = 1.
- Identity
15. If sec A = 5/4, then cos A is:
- A. 4/5 (Correct)
- B. 5/4
- C. 3/5
- D. 1/5
Explanation: cos A is the reciprocal of sec A.