trigonometric function
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- Clark University - David E. Joyce - Trigonometric Functions
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- Whitman College - Trigonometric Functions
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- Mathematics LibreTexts - Trigonometry
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- Abū al-Wafāʾ
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- Pressbooks Create - Calculus Volume 1 - Trigonometric Functions (May 10, 2024)
trigonometric function, in mathematics, one of six functions (sine [sin], cosine [cos], tangent [tan], cotangent [cot], secant [sec], and cosecant [csc]) that represent ratios of sides of right triangles. These six trigonometric functions in relation to a right triangle are displayed in the figure. They are also known as the circular functions, since their values can be defined as ratios of the x and y coordinates (see coordinate system) of points on a circle of radius 1 that correspond to angles in standard positions. Trigonometry can be easily applied to surveying, engineering, and navigation problems in which one of a right triangle’s acute angles and the length of a side are known and the lengths of the other sides are to be found. The fundamental trigonometric identity is sin2