Trigonometry: Functions, Ratios, and Formulas

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Questions and Answers

What is the study of the relationship between the sides and angles of a right-angled triangle called?

  • Trigonometry (correct)
  • Calculus
  • Algebra
  • Geometry

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

  • Archimedes
  • Hipparchus (correct)
  • Euclid
  • Pythagoras

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

  • Kilograms
  • Liters
  • Degrees (correct)
  • Miles

Which branch of mathematics finds huge application in diverse fields?

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

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

<p>30°, 60°, 90°, 120° (B)</p> Signup and view all the answers

What does trigonometry help to find for a right triangle?

<p>Missing or unknown angles or sides (A)</p> Signup and view all the answers

What are the three important trigonometric functions?

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

Which trigonometric functions are considered odd?

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

What is the definition of an even trigonometric function?

<p>f(-x) = f(x) and symmetric to the y-axis (C)</p> Signup and view all the answers

Which angles are commonly used in trigonometry problems?

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

How are the trigonometric ratios of an angle defined?

<p>$\theta = sin^{-1} (P/H)$ (A)</p> Signup and view all the answers

What does the unit circle help us measure directly?

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

How many sides does a right-angled triangle have?

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

What are the abbreviations for the three important trigonometric functions?

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

What is necessary to define the set of important trigonometric functions?

<p>$Knowledge$ about the sides of the right triangle (B)</p> Signup and view all the answers

Flashcards

What is Trigonometry?

The study of the relationships between the sides and angles of right-angled triangles.

Who is Hipparchus?

A Greek mathematician credited with conceptualizing trigonometry.

Units for Measuring Angles in Trigonometry?

Degrees are the standard units.

What is the Application of Trigonometry?

A branch of mathematics applicable in diverse fields.

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Most Common Angles in Trigonometry?

30°, 60°, 90°, and 120° are commonly used for calculations.

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What does Trigonometry Find?

Trigonometry helps find missing or unknown angles or sides in right triangles.

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What are the 3 main Trigonometric Functions?

Sine, cosine, and tangent are the primary trigonometric functions.

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Which Trigonometric Functions are Odd?

Sine and tangent are odd trigonometric functions.

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Even Trigonometric Function Definition?

A function where f(-x) = f(x), symmetric to the y-axis.

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What does the Unit Circle Measure?

The unit circle allows direct measurement of sine, cosine, and tangent.

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How many Sides does a Right-Angled Triangle Have?

A right-angled triangle has three sides.

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What is Necessary to Define Trigonometric Functions?

These functions define ratios of sides in right triangles.

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What are the Abbreviations for Sine, Cosine and Tangent?

sin, cos, and tan are respective.

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