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  • Question

  • What is the value of [(tan 5? + tan 3?)/4 cos 4? (tan 5? ? tan 3?)]?


  • Options
  • A. sin 2?
  • B. cos 2?
  • C. tan 4?
  • D. cot 2?

  • Correct Answer
  • cos 2? 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. What is the value of [(sin x + sin y) (sin x ? sin y)]/[(cosx + cosy) (cosy ? cosx)]?

    • Options
    • A. 0
    • B. 1
    • C. ? 1
    • D. 2
      • Discuss
    • 2. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

    • Options
    • A. 1 : 2
    • B. 1 : ?3
    • C. 2 : ?3
    • D. 2 : 3
      • Discuss
    • 3. Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?

    • Options
    • A. 415
    • B. 465
    • C. 440
    • D. Cannot be determined
      • Discuss
    • 4. If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

    • Options
    • A. 4
    • B. 2
    • C. 3
    • D. 5
      • Discuss
    • 5. If ? and ? are the roots of equation x2 ? x + 1 = 0, then which equation will have roots ?3 and ?3?

    • Options
    • A. x2 + 2x + 1 = 0
    • B. x2 ? 2x ? 1 = 0
    • C. x2 + 3x ? 1 = 0
    • D. x2 ? 3x + 1 = 0
      • Discuss
    • 6. What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) ? 4 cosec2 45 + 8 sin (p/2)?

    • Options
    • A. 25/4
    • B. 1
    • C. ? 7/2
    • D. 13/2
      • Discuss
    • 7. What is the value of sin (B ? C) cos (A ? D) + sin (A ? B) cos (C ? D) + sin (C ? A) cos (B ? D)?

    • Options
    • A. 3/2
    • B. ? 3
    • C. 1
    • D. 0
      • Discuss
    • 8. What is the value of cos [(180 ? ?)/2] cos [(180 ? 9?)/2] + sin [(180 ? 3?)/2] sin [(180 ? 13?)/2]?

    • Options
    • A. sin 2? sin 4?
    • B. cos 2? cos 6?
    • C. sin 2? sin 6?
    • D. cos 2? cos 4?
      • Discuss
    • 9. What is the value of [tan2 (90 ? ?) ? sin2 (90 ? ?)] cosec2 (90 ? ?) cot2 (90 ? ?)?

    • Options
    • A. 0
    • B. 1
    • C. -1
    • D. 2
      • Discuss
    • 10. Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

    • Options
    • A. xy
    • B. ?( y/ x)
    • C. ?( x/ y)
    • D. ?( xy)
      • Discuss

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