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  2. List of trigonometric identities - Wikipedia

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

    When the direction of a Euclidean vector is represented by an angle , this is the angle determined by the free vector (starting at the origin) and the positive -unit vector. The same concept may also be applied to lines in a Euclidean space, where the angle is that determined by a parallel to the given line through the origin and the positive x ...

  3. Inverse tangent integral - Wikipedia

    en.wikipedia.org/wiki/Inverse_tangent_integral

    The inverse tangent integral is a special function, defined by: Ti 2 ⁡ ( x ) = ∫ 0 x arctan ⁡ t t d t {\displaystyle \operatorname {Ti} _{2}(x)=\int _{0}^{x}{\frac {\arctan t}{t}}\,dt} Equivalently, it can be defined by a power series , or in terms of the dilogarithm , a closely related special function.

  4. List of integrals of inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/List_of_integrals_of...

    The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse trigonometric functions.For a complete list of integral formulas, see lists of integrals.

  5. Machin-like formula - Wikipedia

    en.wikipedia.org/wiki/Machin-like_formula

    The angle associated with a complex number (+) is given by: ⁡ Thus, in equation 4, the angle associated with the product is: ⁡ + Note that this is the same expression as occurs in equation 3.

  6. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_trigonometric...

    The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc. [1] (This convention is used throughout this article.) This notation arises from the following geometric relationships: [ citation needed ] when measuring in radians, an angle of θ radians will correspond to an arc ...

  7. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    The diagram at right shows a circle with centre O and radius r = 1. Let two radii OA and OB make an arc of θ radians. Since we are considering the limit as θ tends to zero, we may assume θ is a small positive number, say 0 < θ < ⁠ 1 / 2 ⁠ π in the first quadrant.

  8. TI-83 series - Wikipedia

    en.wikipedia.org/wiki/TI-83_series

    The TI-84 Plus also has a brighter screen with a clearer contrast, though this caused a bug with the LCD driver in some calculators sold. The TI-84 Plus has 3 times the memory of the TI-83 Plus, and the TI-84 Plus Silver Edition has 9 times the memory of the TI-83 Plus. They both have 2.5 times the speed of the TI-83 Plus.

  9. TI-84 Plus series - Wikipedia

    en.wikipedia.org/wiki/TI-84_Plus_series

    The TI-84 Plus C Silver Edition was released in 2013 as the first Z80-based Texas Instruments graphing calculator with a color screen.It had a 320×240-pixel full-color screen, a modified version of the TI-84 Plus's 2.55MP operating system, a removable 1200 mAh rechargeable lithium-ion battery, and keystroke compatibility with existing math and programming tools. [6]