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SSC CGL Trigonometric Identities Practice Test 1

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 1

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 1 (no login required)
  1. Trigonometric Identities

    1. The value of cos 60° is:

    • A. 0
    • B. 1/2 (Correct)
    • C. √3/2
    • D. 1

    Explanation: cos 60° is 1/2.

  2. Trigonometric Identities

    2. The value of tan 30° is:

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

    Explanation: tan 30° = 1/√3.

  3. Trigonometric Identities

    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.

  4. Trigonometric Identities

    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).

  5. Trigonometric Identities

    5. The value of sec 60° is:

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

    Explanation: sec 60° = 1 / cos 60° = 2.

  6. Trigonometric Identities

    6. If tan A = 1, then A may be:

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

    Explanation: tan 45° = 1.

  7. Trigonometric Identities

    7. The value of cosec 30° is:

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

    Explanation: cosec 30° = 1 / sin 30° = 2.

  8. Trigonometric Identities

    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).

  9. Trigonometric Identities

    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.

  10. Trigonometric Identities

    10. The value of cos 0° is:

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

    Explanation: cos 0° = 1.

  11. Trigonometric Identities

    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.

  12. Trigonometric Identities

    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.

  13. Trigonometric Identities

    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.

  14. Trigonometric Identities

    14. The value of sin 90° is:

    • A. 0
    • B. 1/2
    • C. 1 (Correct)
    • D. √3/2

    Explanation: sin 90° = 1.

  15. Trigonometric Identities

    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.