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  2. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    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 ⁡ = ⁡ =.

  3. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    All of the trigonometric functions of the angle θ (theta) can be constructed geometrically in terms of a unit circle centered at O. Sine function on unit circle (top) and its graph (bottom) In this illustration, the six trigonometric functions of an arbitrary angle θ are represented as Cartesian coordinates of points related to the unit circle.

  4. Trigonometric tables - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_tables

    A trigonometry table is essentially a reference chart that presents the values of sine, cosine, tangent, and other trigonometric functions for various angles. These angles are usually arranged across the top row of the table, while the different trigonometric functions are labeled in the first column on the left.

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

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

    Masing-masing ordinat A, B dan D merupakan nilai dari sin θ, tan θ dan csc θ, sedangkan masing-masing absis dari A, C dan E merupakan nilai cos θ, cot θ dan sec θ. العربية: في هذا الرسم، الدوال المثلثية الستة لزاوية اختيارية θ ممثلة إحداثياتٍ ديكارتية للنقاط ...

  6. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    A geometric way of deriving the sine or cosine of 45° is by considering an isosceles right triangle with leg length 1. Since two of the angles in an isosceles triangle are equal, if the remaining angle is 90° for a right triangle, then the two equal angles are each 45°.

  7. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Fig. 1a – Sine and cosine of an angle θ defined using the unit circle Indication of the sign and amount of key angles according to rotation direction. 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]

  8. File:Unit-circle sin cos tan cot exsec excsc versin vercos ...

    en.wikipedia.org/wiki/File:Unit-circle_sin_cos...

    This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.: You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work

  9. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    Consequently, from the equation for the unit circle: ⁡ + ⁡ =, the Pythagorean identity. In the figure, the point P has a negative x-coordinate, and is appropriately given by x = cos θ, which is a negative number: cos θ = −cos(π−θ). Point P has a positive y-coordinate, and sin θ = sin(π−θ) > 0.

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