Trigonometry: History and Concepts

Greeks = Focused on the calculation of chords Indians = Created the earliest-known tables of values for trigonometric ratios Sumerians and Babylonians = Studied the ratios of the sides of similar triangles Nubians = Used a similar method for angle measure

Geodesy = Application in measuring the Earth's shape and gravitational field Surveying = Use in determining the relative position of points on the Earth's surface Celestial mechanics = Applied in understanding the motion of celestial objects Navigation = Utilized for determining position and direction while traveling

Trigonometric identities = Used for rewriting trigonometrical expressions to simplify or find a more useful form Trigonometric ratios/functions = Provide relationships between angles and ratios of lengths in a triangle 360 degrees division = Studied by Sumerian astronomers for angle measure Properties of similar triangles' ratios = Studied by Babylonians but not turned into a systematic method

<p>Trigonometry = Branch of mathematics concerned with relationships between angles and ratios of lengths Chords = Calculation focused on by the Greeks in trigonometry Ratios of similar triangles' sides = Studied by Sumerians and Babylonians Trigonometric identities = Commonly used for rewriting trigonometrical expressions to simplify or solve an equation</p> Signup and view all the answers

<p>Rewriting trigonometrical expressions = Aim to simplify an expression or to find a more useful form Finding sides and angles of triangles = Not turned into a systematic method by Sumerian and Babylonian studies Solving equations = Purpose of using trigonometric identities Measuring Earth's shape and gravitational field = Application in geodesy using trigonometry</p> Signup and view all the answers