Trigonometric Ratios Quiz

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Questions and Answers

Which of the following describes the trigonometric ratio?

  • A ratio of two sides of an acute triangle
  • A ratio of two sides of a right triangle (correct)
  • A ratio of two angles of an acute triangle
  • A ratio of two angles of a right triangle

What is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse called?

  • Sine
  • Cotangent
  • Tangent
  • Cosine (correct)

What is the ratio of the length of the side opposite an acute angle to the length of the hypotenuse called?

  • Cosine
  • Sine (correct)
  • Tangent
  • Cotangent

Which of the following is the trigonometric ratio for a 30-degree angle in a right triangle?

<p>sin(30°) (B)</p> Signup and view all the answers

What is the trigonometric ratio for a 45-degree angle in a right triangle?

<p>tan(45°) (C)</p> Signup and view all the answers

What is the trigonometric ratio for a 60-degree angle in a right triangle?

<p>cos(60°) (B)</p> Signup and view all the answers

Which of the following is the trigonometric ratio for a 90-degree angle in a right triangle?

<p>None of the above (D)</p> Signup and view all the answers

What is the trigonometric ratio for a 0-degree angle in a right triangle?

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

What is the trigonometric ratio for a 45-degree angle in a right triangle?

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

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Study Notes

Trigonometric Ratios

  • The ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse is called cosine.
  • The ratio of the length of the side opposite an acute angle to the length of the hypotenuse is called sine.
  • The ratio of the length of the side opposite an angle to the length of the side adjacent to the angle is called tangent.
  • The trigonometric ratio for a 30-degree angle in a right triangle is 1/2.
  • The trigonometric ratio for a 45-degree angle in a right triangle is 1/√2 or √2/2.
  • The trigonometric ratio for a 60-degree angle in a right triangle is √3/2.
  • There is no trigonometric ratio for a 90-degree angle in a right triangle, as the ratio is undefined.
  • The trigonometric ratio for a 0-degree angle in a right triangle is 0.

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