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  • Question

  • What is the value of (32 cos6x ? 48 cos4x + 18 cos2x ? 1)/[4 sin x cos x sin (60 ? x) cos (60 ? x) sin (60 + x) cos (60 + x)] ?


  • Options
  • A. 4 tan 6x
  • B. 4 cot 6x
  • C. 8 cot 6x
  • D. 8 tan 6x

  • Correct Answer
  • 8 cot 6x 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. What is the value of {(sin 4x + sin 4y) [(tan 2x ? 2y)]}/(sin 4x ? sin 4y)?

    • Options
    • A. tan 2 (2x + 2y)
    • B. tan2
    • C. cot (x ? y)
    • D. tan (2x + 2y)
      • Discuss
    • 2. Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ?PQR = 40°, then what is the value (in degrees) of ?QPR?

    • Options
    • A. 40
    • B. 45
    • C. 50
    • D. 55
      • Discuss
    • 3. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

    • Options
    • A. 18
    • B. 9
    • C. 20
    • D. 12
      • Discuss
    • 4. PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

    • Options
    • A. 5/?3
    • B. 10?3
    • C. 10/?3
    • D. 5?2
      • Discuss
    • 5. If 2x + 3y ? 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

    • Options
    • A. 32
    • B. 52
    • C. 64
    • D. 46
      • Discuss
    • 6. What is the value of [2 cot × (p ? A)/2]/[1 + tan2× (2p ? A)/2] ?

    • Options
    • A. 2 sin2 A/2
    • B. cos A
    • C. sin A
    • D. 2 cos2 A/2
      • Discuss
    • 7. If tan ? + sec ? = (x ? 2)/(x + 2), then what is the value of cos ??

    • Options
    • A. (x2 ? 1)/(x2 + 1)
    • B. (2x2 ? 4)/(2x2 + 4)
    • C. (x2 ? 4)/(x2 + 4)
    • D. (x2 ? 2)/(x2 + 2)
      • Discuss
    • 8. What is the value of (cos 40° ? cos 140°)/(sin 80° + sin 20°)?

    • Options
    • A. 2?3
    • B. 2/?3
    • C. 1/?3
    • D. ?3
      • Discuss
    • 9. What is the value of [1 ? tan (90 ? ?) + sec (90 ? ?)]/[tan (90 ? ?) + sec (90 ? ?) + 1]?

    • Options
    • A. cot (?/2)
    • B. tan (?/2)
    • C. sin ?
    • D. cos ?
      • Discuss
    • 10. What is the value of [sin (90 ? A) + cos (180 ? 2A)]/[cos (90 ? 2A) + sin (180 ? A)]?

    • Options
    • A. sin (A/2) cos A
    • B. cot (A/2)
    • C. tan (A/2)
    • D. sin A cos (A/2)
      • Discuss

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