Trigonometric Ratios and Special Right Triangles Quiz
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Questions and Answers

What is the ratio of the sides of a right triangle with a 30-degree angle?

  • 1:$ oot{3} ext{ }:2$
  • 2:$ oot{3} ext{ }:1$
  • 1:2:$ oot{3} ext{ }$
  • 2:1:$ oot{3} ext{ }$ (correct)

    • What function did the research lead to in understanding the normal distribution?

  • $e^{-x^2}$ (correct)
  • $rac{1}{ oot{2 ext{ } ext{ } ext{ } ext{ }}}e^{-x^2}$
  • $ oot{2 ext{ } ext{ } ext{ } ext{ }}e^{-x^2}$
  • $rac{1}{1+x^2}$

    • What method was used to solve the challenge of calculating the area under $e^{-x^2}$?

  • Gaussian integration (correct)
  • Trapezoidal rule
  • Riemann integration
  • Simpson's rule

    • What kind of integral did the method involve in solving the area under $e^{-x^2}$?

    <p>Three-dimensional volume integral</p> Signup and view all the answers

    What did the expansion of the two-dimensional integration problem into three dimensions involve?

    <p>Translating the integration over x and y into polar coordinates</p> Signup and view all the answers

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