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  2. File:Year 11 2U Exact Trigonometric Ratios, Unit Circle ...

    en.wikipedia.org/wiki/File:Year_11_2U_Exact...

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  3. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    Sine function on unit circle (top) and its graph (bottom) The trigonometric functions cosine and sine of angle θ may be defined on the unit circle as follows: If (x, y) is a point on the unit circle, and if the ray from the origin (0, 0) to (x, y) makes an angle θ from the positive x-axis, (where counterclockwise turning is positive), then

  4. File:Circle-trig6.svg - Wikipedia

    en.wikipedia.org/wiki/File:Circle-trig6.svg

    English: This is a graphical construction of the various trigonometric functions from a chord AD (angle θ) of the unit circle centered at O. In addition to the modern trigonometric functions sin (sine), cos (cosine), tan (tangent), cot (cotangent), sec (secant), and csc (cosecant), the diagram also includes a few trigonometric functions that have fallen into disuse: chord, versin (versine or ...

  5. File:Unit Circle Definitions of Six Trigonometric Functions ...

    en.wikipedia.org/wiki/File:Unit_Circle...

    English: All of the six trigonometric functions of an arbitrary angle θ can be defined geometrically in terms of a unit circle centred at the origin of a Cartesian coordinate plane.

  6. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

  7. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Trigonometric ratios can also be represented using the unit circle, which is the circle of radius 1 centered at the origin in the plane. [37] In this setting, the terminal side of an angle A placed in standard position will intersect the unit circle in a point (x,y), where x = cos ⁡ A {\displaystyle x=\cos A} and y = sin ⁡ A {\displaystyle ...

  8. Outline of trigonometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_trigonometry

    Unit circle; Laws and theorems ... Trigonometry defines the trigonometric functions, ... in PDF format, full text presented. Trigonometry by Alfred Monroe Kenyon and ...

  9. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [ 1 ] In the table below, the label "Undefined" represents a ratio 1 : 0. {\displaystyle 1:0.}