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  • Question
  • If ? is acute angle and tan ? ? cot ? = 0, then what is the value of tan26? + cot100? ?


  • Options
  • A. -2
  • B. 0
  • C. 1
  • D. 2

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the value of sin (??/3) + cos(??/6)?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 2. If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

    • Options
    • A. 125?3
    • B. 147?3
    • C. 156?3
    • D. 169?3
    • Discuss
    • 3. If x2+ y2+ z2= xy + yz + zx , then what is the value of (7x + 3y ? 5z)/5x?

    • Options
    • A. 0
    • B. 1
    • C. 5
    • D. 33/5
    • Discuss
    • 4. If x ? 3 + [1/(x ? 3)] = 4, what is the value of [(x ? 3)3+ [1/(x ? 3)3] ?

    • Options
    • A. 14
    • B. 18
    • C. 52
    • D. 76
    • Discuss
    • 5. If x/y = 4/9, then what is the value of (7x2 ? 19xy + 11y2)/y2 ?

    • Options
    • A. 59/81
    • B. 100/27
    • C. 319/81
    • D. 913/81
    • Discuss
    • 6. If sin 3? sec 2? = 1, then what is the value of [3 tan2(5?/2) ? 1] ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 7. If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 ? 3abc ?

    • Options
    • A. 121
    • B. 168
    • C. 300
    • D. 770
    • Discuss
    • 8. If (x/5) + (5/x) = ? 2, then what is the value of x3 ?

    • Options
    • A. ?125
    • B. 5
    • C. 1/125
    • D. 625
    • Discuss
    • 9. What is the simplified value of [2/(cot A ? tan A)]?

    • Options
    • A. sin A cos A
    • B. tan 2A
    • C. sin2 A
    • D. cos2 A
    • Discuss
    • 10. What is the simplified value of (sec4 A ? tan2 A) ? (tan4 A + sec2 A) ?

    • Options
    • A. -1
    • B. 1/2
    • C. 1
    • D. 0
    • Discuss


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