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  • Question
  • What is the value of sin6? + cos6? + 3 sin2? cos2? ?1 ?


  • Options
  • A. 0
  • B. 1
  • C. 2
  • D. 4

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the value of sin225°+ sin265° ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4
    • Discuss
    • 2. If 3 tan ? = cot ? where 0 < ? < ?/2 , then what is the value of ? ?

    • Options
    • A. ?/6
    • B. ?/4
    • C. ?/2
    • D. 1
    • Discuss
    • 3. If p and q are the roots of the equation x2 ?15x + r = 0 and p ?q = 1, then what is the value of r ?

    • Options
    • A. 55
    • B. 56
    • C. 60
    • D. 64
    • Discuss
    • 4. If ax= by= cz and b2= ac , then what is 1x+1z equal to ?

    • Options
    • A. 1/y
    • B. -1/y
    • C. 2/y
    • D. -2/y
    • Discuss
    • 5. What is (x-y)3+y-23+z-x33x-yy-zz-x =?

    • Options
    • A. 1
    • B. 0
    • C. 1/3
    • D. 3
    • Discuss
    • 6. Consider the following for real numbers ?, ?, ? and ? ? 1) sec ? = 1/4 2) tan ? = 20 3) cosec ? = 1/2 4) cos ? = 2 How many of the above statements are not possible?

    • Options
    • A. one
    • B. two
    • C. three
    • D. four
    • Discuss
    • 7. For x = 462+3, what is the value of x+22x-22+x+23x-23

    • Options
    • A. 1
    • B. ?2
    • C. ?3
    • D. 2
    • Discuss
    • 8. If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2 ?

    • Options
    • A. 1/600
    • B. 1/60
    • C. 1/36
    • D. 1/360
    • Discuss
    • 9. For x > 0, what is the minimum value of x + x+22x ?

    • Options
    • A. 1
    • B. 2
    • C. 2.5
    • D. 1.5
    • Discuss
    • 10. If 1/3(12x/5 - 1/2) + 6/5 = 7/6, then what is the value of x?

    • Options
    • A. 1/6
    • B. -1/6
    • C. 1/5
    • D. -1/5
    • Discuss


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