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  • Question
  • What is the value of [sin (90? 10?) ? cos (p ? 6?)]/ [cos (p/2 ? 10?) ? sin (p ? 6?)]?


  • Options
  • A. tan 2?
  • B. cot 2?
  • C. cot ?
  • D. cot 3?

  • Correct Answer
  • cot 2? 

  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the value of {[sin (x + y) ? 2 sin x + sin (x ? y)]/[cos (x ? y) + cos (x + y) ? 2 cos x]} × [(sin 10x ? sin 8x)/(cos 10x + cos 8x)]?

    • Options
    • A. 0
    • B. tan2x
    • C. 1
    • D. 2 tan x
    • Discuss
    • 2. What is the value of [sin (y ? z) + sin (y + z) + 2 sin y]/[sin (x ? z) + sin (x + z) + 2 sin x]?

    • Options
    • A. cos x sin y
    • B. (sin y)/(sin x)
    • C. sin z
    • D. sin x tan y
    • Discuss
    • 3. If x + 3y - 2z4 = 6, x + 232y + 3z = 33 and 17x + y +z + 2z =9, then what is the value of 46x+ 131y ?

    • Options
    • A. 414
    • B. 364
    • C. 384
    • D. 464
    • Discuss
    • 4. If 3x + 4y ? 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z ? 4 = 18, then what is the value of x + y + z ? 34?

    • Options
    • A. ? 28
    • B. ? 14
    • C. ? 31
    • D. ? 45
    • Discuss
    • 5. If a + b = 10 and ab- 13 = -ba - 11 , then what is the value of 3ab + 4a2 + 5b2 ?

    • Options
    • A. 450
    • B. 300
    • C. 600
    • D. 750
    • Discuss
    • 6. If sec ? (cos ? + sin ?) = ?2, then what is the value of (2 sin ?)/(cos ? ? sin ?)?

    • Options
    • A. 3?2
    • B. 3/?2
    • C. 1/?2
    • D. ?2
    • Discuss
    • 7. What is the value of 1sin490-?+1cos290-? - 1 ?

    • Options
    • A. tan2? sec2?
    • B. sec4?
    • C. tan4?
    • D. tan2? sin2?
    • Discuss
    • 8. What is the value of [tan (90 ? A) + cot (90 ? A)]2/[2 sec2(90 ? 2A)] ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. ? 1
    • Discuss
    • 9. What is the value of {sin (90 ? x) cos [? ? (x ? y)]} + {cos (90 ? x) sin [? ? (y ? x)]}?

    • Options
    • A. -cos y
    • B. -sin y
    • C. cos x
    • D. tan y
    • Discuss
    • 10. What is the value of 3.6×1.62+0.48×3.61.8×0.8+10.8×0.3-2.16 ?

    • Options
    • A. 2.4
    • B. 2
    • C. 4
    • D. 3
    • Discuss


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