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# A Study on Trigonometry

Trigonometry is based on the study of right-angled triangles This is a form of geometry that developed out of the study of the stars It is also concerned with the relationships that exist between the sides and angles of triangles and their measurement Trigonometry comes in two forms spherical and plane Spherical is the study of curved triangles lying on the surface of a hypothetical sphere which is mainly used by astronomers and navigators Plane is the study of more variety and is mainly focused on by many books on trigonometry In trigonometry the ratio between any two sides of a right-angled triangle is given as a function of angles within the triangle These ratios are called trigonometric functions Even though there are six types of trigonometric functions three of them are commonly used ratios are sine cosine and tangent The other three are cotangent secant and consecant Here is an example of how trigonometric functions of a general angle work The angle as shown in the diagram is measured by usually showing the Greek letter theta 0 The sine is the ratio of o which is the length of the side opposite 0 to h which is the length of the hypotenuse The cosine is the ratio of a the length of the side adjacent to 0 to h the length of the hypotenuse The tangent is the ratio of o the length of the side opposite 0 to a the length of the side adjacent to 0 sin 0 ohcos 0 ah tan 0 oaTrigonometry is considered to be an important component within every mathematics course while its rules and formulae the plural form of formula has applications in subjects ranging from engineering to navigation An example of it being used for engineering is the Egyptians using it for building their pyramids The functions of an acute angle that deal with any right triangle

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