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  • Question

  • What is the value of [(sin 7x ? sin 5x)÷(cos 7x + cos 5x)] ? [(cos 6x ? cos 4x)÷(sin 6x + sin 4x)]?


  • Options
  • A. 1
  • B. 2 tan x
  • C. tan 2 x
  • D. tan (3 x/2)

  • Correct Answer
  • 2 tan x 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

    • Options
    • A. 45
    • B. 35
    • C. 55
    • D. 65
      • Discuss
    • 2. If (x/a) + (y/b) = 3 and (x/b) ? (y/a) = 9, then what is the value of x/y?

    • Options
    • A. ( b + 3 a)/( a ? 3 b)
    • B. ( a + 3 b)/( b ? 3 a)
    • C. (1 + 3 a)/( a + 3 b)
    • D. ( a + 3 b2)/( b ? 3 a2)
      • Discuss
    • 3. If x ? 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x ? 3y)?

    • Options
    • A. 9/5
    • B. 11/5
    • C. 13/7
    • D. 9/7
      • Discuss
    • 4. A = (x8 ? 1)/(x4 + 1) and B = (y4 ? 1)/(y2 + 1). If x = 2 and y = 9, then what is the value of A2 + 2AB + AB2?

    • Options
    • A. 96475
    • B. 98625
    • C. 92425
    • D. 89125
      • Discuss
    • 5. If x + y = 3, then what is the value of x3 + y3 + 9xy ?

    • Options
    • A. 15
    • B. 81
    • C. 27
    • D. 9
      • Discuss
    • 6. What is the value of [(cos32? + 3 cos 2?)÷(cos6? ? sin6?)] ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4
      • Discuss
    • 7. What is the value of tan?4+A×tan3?4+A ?

    • Options
    • A. 1
    • B. 0
    • C. cot A/2
    • D. ? 1
      • Discuss
    • 8. What is the value of sin (630 + A) + cos A?

    • Options
    • A. ?3/2
    • B. 1/2
    • C. 0
    • D. 2/?3
      • Discuss
    • 9. What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° ? sin 20° sin 25° )]?

    • Options
    • A. 1/?2
    • B. 2?2
    • C. ?3
    • D. ?2
      • Discuss
    • 10. What is the value of cos (90 ? B) sin (C ? A) + sin (90 + A) cos (B + C) ? sin (90 ? C) cos (A + B)?

    • Options
    • A. 1
    • B. sin ( A + B ? C)
    • C. cos ( B + C ? A)
    • D. 0
      • Discuss

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