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  2. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π].Graph of ⁡ (,) over /. In computing and mathematics, the function atan2 is the 2-argument arctangent.

  3. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    This geometric argument relies on definitions of arc length and area, which act as assumptions, so it is rather a condition imposed in construction of trigonometric functions than a provable property. [2] For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin ...

  4. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    The line segment ¯ has length ⁡ and sum of the lengths of ¯ and ¯ equals the length of ¯, which is 1. Therefore, cos ⁡ 2 θ + 2 sin 2 ⁡ θ = 1 {\displaystyle \cos 2\theta +2\sin ^{2}\theta =1} .

  5. 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°.

  6. Mnemonics in trigonometry - Wikipedia

    en.wikipedia.org/wiki/Mnemonics_in_trigonometry

    Signs of trigonometric functions in each quadrant. All Students Take Calculus is a mnemonic for the sign of each trigonometric functions in each quadrant of the plane. The letters ASTC signify which of the trigonometric functions are positive, starting in the top right 1st quadrant and moving counterclockwise through quadrants 2 to 4.

  7. Arctangent series - Wikipedia

    en.wikipedia.org/wiki/Arctangent_series

    In mathematics, the arctangent series, traditionally called Gregory's series, is the Taylor series expansion at the origin of the arctangent function: [1] ⁡ = + + = = + +. This series converges in the complex disk | |, except for = (where =).

  8. ACT (test) - Wikipedia

    en.wikipedia.org/wiki/ACT_(test)

    The ACT (/ eɪ s iː t iː /; originally an abbreviation of American College Testing) [10] is a standardized test used for college admissions in the United States.It is administered by ACT, Inc., a for-profit organization of the same name. [10]

  9. Law of tangents - Wikipedia

    en.wikipedia.org/wiki/Law_of_tangents

    In the time before electronic calculators were available, this method was preferable to an application of the law of cosines c = √ a 2 + b 2 − 2ab cos γ, as this latter law necessitated an additional lookup in a logarithm table, in order to compute the square root.

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