Mathematics Mastery Quiz

Number theory, algebra, geometry, and analysis

The discovery of properties of abstract objects and the use of pure reason to prove them

A succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and basic properties

<p>Natural sciences, engineering, medicine, finance, computer science, and social sciences</p> Signup and view all the answers

<p>No, they are independent from any scientific experimentation</p> Signup and view all the answers

<p>Some historical applications of trigonometry include geodesy, surveying, celestial mechanics, and navigation.</p> Signup and view all the answers

<p>Trigonometry emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios.</p> Signup and view all the answers

<p>Sumerian astronomers studied angle measure, using a division of circles into 360 degrees. They, and later the Babylonians, studied the ratios of the sides of similar triangles and discovered some properties of these ratios but did not turn that into a systematic method for finding sides and angles of triangles.</p> Signup and view all the answers

<p>Trigonometric identities are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation.</p> Signup and view all the answers

<p>The ancient Nubians used a similar method to the Sumerian astronomers and Babylonians in studying the ratios of the sides of similar triangles.</p> Signup and view all the answers