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 (B)</p> Signup and view all the answers

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

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

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

<p>tg (C)</p> Signup and view all the answers

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

<p>arcsin (A)</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 (D)</p> Signup and view all the answers

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

<p>Secant (D)</p> Signup and view all the answers

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

<p>sin θ = x (A)</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 (B)</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 (A)</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 (B)</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 (B)</p> Signup and view all the answers

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

<p>Sanskrit (B)</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 (B)</p> Signup and view all the answers

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

<p>Decimal number system (B)</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 (A)</p> Signup and view all the answers

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

<p>Sanskrit (C)</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) (B)</p> Signup and view all the answers

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