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SSC CGL Trigonometric Identities Practice Test 3

15 SSC CGL trigonometric identities questions with chapter-wise explanations and exam-style options.

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SSC CGL Practice Session

SSC CGL Trigonometric Identities Practice Test 3

15 SSC CGL trigonometric identities questions with chapter-wise explanations and exam-style options.

Questions
15
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 15 questions in SSC CGL Trigonometric Identities Practice Test 3 (no login required)
  1. Trigonometric Identities

    1. If cos A = 3/5, then sin A is:

    • A. 4/5 (Correct)
    • B. 3/4
    • C. 5/4
    • D. 2/5

    Explanation: Using a 3-4-5 triangle, sin A = 4/5.

  2. Trigonometric Identities

    2. If tan A = 1/√3, then A is:

    • A. 30° (Correct)
    • B. 45°
    • C. 60°
    • D. 90°

    Explanation: tan 30° = 1/√3.

  3. Trigonometric Identities

    3. The value of cosec 90° is:

    • A. 0
    • B. 1 (Correct)
    • C. 2
    • D. Undefined

    Explanation: cosec 90° = 1.

  4. Trigonometric Identities

    4. The value of (sin A + cos A)² is:

    • A. 1 + 2sin A cos A (Correct)
    • B. 1 - 2sin A cos A
    • C. sin² A + cos² A
    • D. 2

    Explanation: Expand the square and use sin² A + cos² A = 1.

  5. Trigonometric Identities

    5. A 10 m pole casts a shadow 10√3 m long. The angle of elevation of the sun is:

    • A. 30° (Correct)
    • B. 45°
    • C. 60°
    • D. 75°

    Explanation: tan θ = 10 / 10√3 = 1/√3, so θ = 30°.

  6. Trigonometric Identities

    6. If sec A = 13/12, then tan A is:

    • A. 5/12 (Correct)
    • B. 12/5
    • C. 13/5
    • D. 5/13

    Explanation: With sec A = 13/12, use a 5-12-13 triangle.

  7. Trigonometric Identities

    7. The value of sin 60° is:

    • A. 1/2
    • B. 1/√2
    • C. √3/2 (Correct)
    • D. 1

    Explanation: sin 60° = √3/2.

  8. Trigonometric Identities

    8. cot 18° is equal to:

    • A. tan 72° (Correct)
    • B. cos 72°
    • C. sin 72°
    • D. sec 18°

    Explanation: cot θ = tan (90° - θ).

  9. Trigonometric Identities

    9. If cos A = 4/5, then sec A + tan A equals:

    • A. 7/5
    • B. 9/5
    • C. 2 (Correct)
    • D. 3

    Explanation: sec A = 5/4 and tan A = 3/4, so sum = 2.

  10. Trigonometric Identities

    10. From a point 15 m from the base of a building, the angle of elevation of its top is 60°. Height of the building is:

    • A. 5√3 m
    • B. 10√3 m
    • C. 15√3 m (Correct)
    • D. 30 m

    Explanation: tan 60° = height / 15, so height = 15√3 m.

  11. Trigonometric Identities

    11. If sin A = 3/5, then (1 - cos A)(1 + cos A) equals:

    • A. 3/5
    • B. 9/25 (Correct)
    • C. 16/25
    • D. 1

    Explanation: This equals 1 - cos² A = sin² A = 9/25.

  12. Trigonometric Identities

    12. The value of cot 30° is:

    • A. 1/√3
    • B. 1
    • C. √3 (Correct)
    • D. 2

    Explanation: cot 30° = √3.

  13. Trigonometric Identities

    13. If tan A = 8/15, then sec A is:

    • A. 15/17
    • B. 17/15 (Correct)
    • C. 8/17
    • D. 15/8

    Explanation: Using an 8-15-17 triangle, sec A = 17/15.

  14. Trigonometric Identities

    14. The value of cos² A + sin² A + tan² A - sec² A is:

    • A. -1
    • B. 0 (Correct)
    • C. 1
    • D. tan² A

    Explanation: Use cos² A + sin² A = 1 and sec² A - tan² A = 1.

  15. Trigonometric Identities

    15. sin 72° is equal to:

    • A. cos 18° (Correct)
    • B. tan 18°
    • C. sec 18°
    • D. cot 72°

    Explanation: sin θ = cos (90° - θ).