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  • Question
  • What is the value of [(cos 7A + cos 5A)÷(sin 7A ? sin 5A)]?


  • Options
  • A. tan A
  • B. tan 4 A
  • C. cot 4 A
  • D. cot A

  • Correct Answer
  • cot A 

  • Tags: Bank Exams

    Simplification problems


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    • 1. The ratio of the curved surface area and total surface area of a right circular cylinder is 2 : 5. If the total surface area is 3080 cm2, then what is the volume (in cm3) of the cylinder?

    • Options
    • A. 4312?6
    • B. 3822?6
    • C. 4522?6
    • D. 4642?6
    • Discuss
    • 2. If a + b + c = 7/12, 3a ? 4b + 5c = 3/4 and 7a ? 11b ? 13c = ? 7/12, then what is the value of a + c?

    • Options
    • A. 1/2
    • B. 5/12
    • C. 3/4
    • D. 1/4
    • Discuss
    • 3. If 3x + 4y ? 11 = 18 and 8x ? 6y + 12 = 6, then what is the value of 5x ? 3y ? 9?

    • Options
    • A. 18
    • B. ? 9
    • C. ? 27
    • D. ? 18
    • Discuss
    • 4. If [?(a2 + b2 + ab)] + [?(a2 + b2 ? ab)] = 1, then what is the value of (1 ? a2 )(1 ? b2 )?

    • Options
    • A. 1/4
    • B. 4/7
    • C. 5/4
    • D. 3/4
    • Discuss
    • 5. If x and y are natural numbers such that x + y = 2017, then what is the value of (? 1)x+ (? 1)y ?

    • Options
    • A. 2
    • B. ? 2
    • C. 0
    • D. 1
    • Discuss
    • 6. What is the value of [1 ? sin (90 ? 2A)] / [1 + sin (90 + 2A)]?

    • Options
    • A. sinA cosA
    • B. cot2A
    • C. tan2A
    • D. sin2A cosA
    • Discuss
    • 7. What is the value of sin 75°+ sin 15° ?

    • Options
    • A. ?3
    • B. 2?3
    • C. ?(3/2)
    • D. 3/?2
    • Discuss
    • 8. What is the value of [(cos 3? + 2cos 5? + cos 7?)÷(cos ? + 2cos 3? + cos 5?)] + sin 2? tan 3??

    • Options
    • A. cos 2?
    • B. sin 2?
    • C. tan 2?
    • D. cot ? sin 2?
    • Discuss
    • 9. What is the value of [2 sin (45 + ?) sin (45 ? ?)]/cos 2??

    • Options
    • A. 0
    • B. tan 2?
    • C. cot 2?
    • D. 1
    • Discuss
    • 10. What is the value of sin (90° + 2A)[4 ? cos2(90° ? 2A)]?

    • Options
    • A. 2(cos3 A ? sin3 A)
    • B. 2(cos3 A + sin3 A)
    • C. 4(cos6 A+ sin6 A)
    • D. 4(cos6 A ? sin6 A)
    • Discuss


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