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CuriousTab

Simplification problems


  • 1. If x2+ x = 19 , then what is the value of (x + 5)2+ [1/(x + 5)2] ?

  • Options
  • A. 77
  • B. 79
  • C. 81
  • D. 83
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  • 2. What is the simplified value of sec4? ? sec2? tan2? ?

  • Options
  • A. cosec2?
  • B. Cot2?
  • C. sec2 ?
  • D. sec? tan ?
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  • 3. What is the simplified value of (sin A ? cosec A)(sec A ? cos A) (tan A + cot A)?

  • Options
  • A. 1
  • B. -1
  • C. 0
  • D. 2
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  • 4. If (1/cos ?) ? (1/cot ?) = 1/P, then what is the value of cos ??

  • Options
  • A. (P + 1)/(P ? 1)
  • B. (P2+ 1)/2P
  • C. 2(P2+ 1)/P
  • D. 2P/(P2+ 1)
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  • 5. What is the simplified value of cosec6A ? cot6A ? 3 cosec2A cot2A ?

  • Options
  • A. -2
  • B. -1
  • C. 0
  • D. 1
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  • 6. If tan A = 1/2 and tan B = 1/3, then what is the value of tan (2A + B)?

  • Options
  • A. 1
  • B. 3
  • C. 5
  • D. 9
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  • 7. If a2+b2+c2=83 and a+b+c=15 then the value of ab+bc+ca is

  • Options
  • A. 69
  • B. 70
  • C. 71
  • D. 72
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  • 8. If 3+12=x+3y, then the x+y is

  • Options
  • A. 2
  • B. 4
  • C. 6
  • D. 8
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  • 9. If sin (3x 20°) = cos (3y + 20°), then find the value of (x + y).

  • Options
  • A. 90°
  • B. 60°
  • C. 120°
  • D. 30°
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  • 10. If 1/2 is added to a number and the sum is multipled by 3, the result is 21. Then the number is

  • Options
  • A. 6.5
  • B. 5.5
  • C. 4.5
  • D. -6.5
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