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  • Question
  • 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

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the simplified value of cosec6A ? cot6A ? 3 cosec2A cot2A ?

    • Options
    • A. -2
    • B. -1
    • C. 0
    • D. 1
    • Discuss
    • 2. 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)
    • Discuss
    • 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
    • Discuss
    • 4. What is the simplified value of sec4? ? sec2? tan2? ?

    • Options
    • A. cosec2?
    • B. Cot2?
    • C. sec2 ?
    • D. sec? tan ?
    • Discuss
    • 5. 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
    • Discuss
    • 6. 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
    • Discuss
    • 7. If 3+12=x+3y, then the x+y is

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

    • Options
    • A. 90°
    • B. 60°
    • C. 120°
    • D. 30°
    • Discuss
    • 9. 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
    • Discuss
    • 10. If P=9, Q= 17 then the value of p2-q2-13

    • Options
    • A. 4
    • B. 1/4
    • C. 3
    • D. 1/3
    • Discuss


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