Trigonometry, Algebra, and Statistics Quiz

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Questions and Answers

Which is true regarding the signs of the natural functions for angles between 90° and 180°? (Select all that apply)

  • The sine is negative (correct)
  • The cotangent is positive
  • The cosine is negative (correct)
  • The tangent is positive

What is the inverse natural function of the cosecant?

secant

For a given function where f(t) = f(-t), what type of symmetry does f(t) have?

  • Even symmetry (correct)
  • Odd symmetry
  • Quarter-wave symmetry
  • Rotational symmetry

The graphical representation of a cumulative frequency distribution is called ______.

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

Which number has four significant figures?

<p>0.01414 (B), 1.4140 (C)</p> Signup and view all the answers

Naperian logarithm has a base closest to which number?

<p>2.72 (B)</p> Signup and view all the answers

If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is:

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

To find the angle of a triangle, given only the lengths of the sides, one would use:

<p>The law of sines (B), The law of cosines (C)</p> Signup and view all the answers

A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height is called:

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

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Study Notes

### Trigonometry

  • For angles between 90⁰ and 180⁰, the cosine is negative.
  • The inverse natural function of the cosecant is the sine.

### Algebra

  • A function f(t) that equals f(-t) has even symmetry.
  • 0.1414 has four significant figures.
  • The base of the Naperian logarithm is closest to 2.72.
  • If the second derivative of a curve equation is equal to the negative of the same equation, the curve is a sinusoid.
  • To obtain a triangle's angle with only side lengths, the law of cosines is used.

### Statistics

  • The graphical representation of a cumulative frequency distribution is called an ogive.
  • An axiom is a statement of truth that follows with little or no proof from a theorem.
  • A sequence of numbers where successive terms differ by a constant is an arithmetic progression.
  • A frequency curve consisting of a series of rectangles with bases representing steps and heights representing frequencies is a histogram.

### Definitions

  • Roots of an equation that are zero are classified as zero roots.
  • The ratio of products of two expressions in direct or inverse proportion is known as the ratio of proportion.

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