Trigonometry Functions and Formulas Quiz

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Questions and Answers

What is the branch of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle?

  • Calculus
  • Algebra
  • Geometry
  • Trigonometry (correct)

Who is the Greek mathematician credited with giving the concept of Trigonometry?

  • Pythagoras
  • Archimedes
  • Hipparchus (correct)
  • Euclid

What are some of the most commonly used trigonometric angles for calculations?

  • 15°, 75°, 105°
  • 50°, 70°, 110°
  • 45°, 60°, 90° (correct)
  • 20°, 40°, 80°

What can Trigonometry help to find in a right triangle using trigonometric formulas, functions or identities?

<p>Both missing or unknown angles and sides (C)</p> Signup and view all the answers

In trigonometry, the angles can be measured in which units?

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

Which branch of mathematics basically deals with the study of the relationship between the sides and angles of a right-angle triangle?

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

Which trigonometric functions are also known as the trigonometric ratios?

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

Which trigonometric functions are considered odd functions?

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

What type of function is cosine?

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

Which angles are commonly used in trigonometry problems?

<p>0°, 30°, 45°, 60°, 90° (B)</p> Signup and view all the answers

What is the ratio for sin θ in a right-angled triangle?

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

When is a trigonometric function said to be an even function?

<p>$f(-x) = f(x)$ (D)</p> Signup and view all the answers

How are the trigonometric ratios of common angles found?

<p>$sin^{-1}(P/H), cos^{-1}(B/H), tan^{-1}(P/B)$ (A)</p> Signup and view all the answers

What does the concept of unit circle help measure directly?

<p>$sin$, $cos$, and $tan$ (C)</p> Signup and view all the answers

What are the sides opposite to the hypotenuse called in a right-angled triangle?

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

What are the two different types of trigonometry mentioned in the text?

<p>Right-angled and acute-angled trigonometry (B)</p> Signup and view all the answers

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