Trigonometric Derivatives And Anti-derivatives

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Alf1230
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Quizzes Created: 3 | Total Attempts: 5,245
Questions: 12 | Attempts: 182

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Trigonometric Derivatives And Anti-derivatives - Quiz

This quiz focuses on the derivatives and anti-derivatives of trigonometric functions, specifically assessing the derivative of sin(x) multiplied by cos(x), with the answer being cos(2x). It tests understanding of calculus and trigonometry principles.


Questions and Answers
  • 1. 

    • A.

      -sinx

    • B.

      Cosx

    • C.

      Sinx

    • D.

      -cosx

    Correct Answer
    B. Cosx
  • 2. 

    • A.

      -cosx

    • B.

      Cosx

    • C.

      -sinx

    • D.

      Sinx

    Correct Answer
    C. -sinx
  • 3. 

    • A.

      -sinx

    • B.

      Cosx

    • C.

      -cosx

    • D.

      Sinx

    Correct Answer
    D. Sinx
  • 4. 

    • A.

      Cosx

    • B.

      Sinx

    • C.

      -cosx

    • D.

      -sinx

    Correct Answer
    C. -cosx
  • 5. 

    • A.

      Csc^2x

    • B.

      Sec^2x

    • C.

      -csc^2x

    • D.

      -sec^2x

    Correct Answer
    B. Sec^2x
  • 6. 

    • A.

      Cscxcotx

    • B.

      -cscxcotx

    • C.

      -secxtanx

    • D.

      Secxtanx

    Correct Answer
    D. Secxtanx
  • 7. 

    • A.

      -csc^2x

    • B.

      -sec^2x

    • C.

      Csc^2x

    • D.

      Sec^2x

    Correct Answer
    A. -csc^2x
  • 8. 

    What is the derivative of sin⁡(x)⋅cos⁡(x)?

    • A.

      Cos(2x)

    • B.

      Sin⁡^2(x)+cos^⁡2(x)

    • C.

      Cos^⁡2(x)−sin^⁡2(x)

    • D.

      Cos⁡^2(x)+2sin⁡(x)cos⁡(x)

    Correct Answer
    A. Cos(2x)
  • 9. 

    • A.

      Cotx

    • B.

      Cosx

    • C.

      Tanx

    • D.

      Secx

    • E.

      Cscx

    Correct Answer
    C. Tanx
  • 10. 

    • A.

      Cotx

    • B.

      Cscx

    • C.

      Tanx

    • D.

      Secx

    • E.

      Cosx

    Correct Answer
    D. Secx
  • 11. 

    • A.

      Cotx

    • B.

      Tanx

    • C.

      Secx

    • D.

      Cscx

    • E.

      Sinx

    Correct Answer
    A. Cotx
  • 12. 

    • A.

      Cotx

    • B.

      Cosx

    • C.

      Tanx

    • D.

      Secx

    • E.

      Cscx

    Correct Answer
    E. Cscx

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  • Current Version
  • Sep 17, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 28, 2010
    Quiz Created by
    Alf1230
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