what is trigonometry??
explain in detail
Answers
Answer:
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Step-by-step explanation:
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure"[1]) is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2] The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.[3]
Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.[4]
Trigonometry is known for its many identities. These trigonometric identities[5][6] 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.[7]
Answer:the type of mathematics that deals with the relationship between the sides and angles of triangles
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies
Law
Trigonometric Laws
Laws for any triangle: A triangle with side a opposite angle theta-1, side b opposite angle theta-2. and side c opposite angle theta-3. follows these laws.
Law of sines: Sine (theta-1) / a = Sine (theta-2) / b = Sine (theta-3) / c.
Law of cosines: a² = b² + c² - (2 x b x c x Cosine (theta-1)).
What is trigonometry in simple words?
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. ... The word trigonometry is a 16th-century Latin derivative from the Greek words for triangle (trigōnon) and measure (metron)
What is trigonometry used for?
Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea.
Hipparchus
Trigonometry in the modern sense began with the Greeks. Hipparchus (c. 190–120 bce) was the first to construct a table of values for a trigonometric function.