Trigonometric Functions Quiz
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Questions and Answers

What is the corresponding inverse function of the tangent function?

  • Arcsine
  • Arccosine
  • Arccosecant
  • Arctangent (correct)
  • Which trigonometric function is the reciprocal of the cosine function?

  • Secant
  • Sine
  • Cosecant (correct)
  • Tangent
  • Which geometric shape is often used to extend the sine and cosine functions to functions whose domain is the whole real line?

  • Unit circle (correct)
  • Hyperbola
  • Ellipse
  • Parabola
  • What are the most widely used trigonometric functions in modern mathematics?

    <p>Sine, cosine, tangent</p> Signup and view all the answers

    What type of functions are trigonometric functions in terms of periodicity?

    <p>Simple periodic functions</p> Signup and view all the answers

    Which abbreviation is commonly used for the tangent function in trigonometry?

    <p>tg</p> Signup and view all the answers

    What notation is commonly used for the inverse trigonometric function of sine?

    <p>arcsin</p> Signup and view all the answers

    In functional notation, what does the superscript 2 typically denote when used with a trigonometric function?

    <p>Exponentiation</p> Signup and view all the answers

    For which function is 'sec' the commonly used abbreviation in trigonometry?

    <p>Secant</p> Signup and view all the answers

    What does the equation θ = sin^-1 x imply?

    <p>sin θ = x</p> Signup and view all the answers

    Who among the following scholars made important contributions to Indian mathematics during the classical period?

    <p>Bhaskara II</p> Signup and view all the answers

    What is the name of the oldest extant mathematical document produced on the Indian subcontinent?

    <p>Bakhshali Manuscript</p> Signup and view all the answers

    Which mathematical concept was further advanced in India, leading to the development of modern definitions of sine and cosine?

    <p>Trigonometry</p> Signup and view all the answers

    Which civilization demonstrated knowledge of basic geometry through the mass production of regular geometrical weights and bricks with specific proportions?

    <p>Indus Valley Civilization</p> Signup and view all the answers

    What were ancient and medieval Indian mathematical works usually composed in?

    <p>Sanskrit</p> Signup and view all the answers

    What was the unit of length for the Mohenjo-daro ruler, designed by the inhabitants of ancient Mohenjo-daro?

    <p>1.32 inches</p> Signup and view all the answers

    Which number system, in use today, was first recorded in Indian mathematics?

    <p>Decimal number system</p> Signup and view all the answers

    What is demonstrated by the hollow cylindrical objects made of shell found at Lothal and Dholavira?

    <p>Ability to determine the position of stars for navigation</p> Signup and view all the answers

    What type of notation was used in the prose section of ancient Indian mathematical works?

    <p>Sanskrit</p> Signup and view all the answers

    At what period were numbers as high as 10^12 being included in the religious texts of the Vedic Period?

    <p>Yajurvedasaṃhitā- (1200–900 BCE)</p> Signup and view all the answers

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