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  2. Spanish phonology - Wikipedia

    en.wikipedia.org/wiki/Spanish_phonology

    The phone occurs as a deaffricated pronunciation of /tʃ/ in some other dialects (most notably, Northern Mexican Spanish, informal Chilean Spanish, and some Caribbean and Andalusian accents). [14] Otherwise, /ʃ/ is a marginal phoneme that occurs only in loanwords or certain dialects; many speakers have difficulty with this sound, tending to ...

  3. Olive skin - Wikipedia

    en.wikipedia.org/wiki/Olive_skin

    Two women with olive skin from Orihuela, Spain. Actress Nina Dobrev with olive skin . Olive skin is a human skin tone.It is often associated with pigmentation in the Type III, [1] [2] Type IV, and Type V ranges of the Fitzpatrick scale.

  4. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    In mathematics, the values of the trigonometric functions can be expressed approximately, as in ⁡ (/), or exactly, as in ⁡ (/) = /.While trigonometric tables contain many approximate values, the exact values for certain angles can be expressed by a combination of arithmetic operations and square roots.

  5. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    The y-axis ordinates of A, B and D are sin θ, tan θ and csc θ, respectively, while the x-axis abscissas of A, C and E are cos θ, cot θ and sec θ, respectively. Signs of trigonometric functions in each quadrant. Mnemonics like "all students take calculus" indicates when sine, cosine, and tangent are positive from quadrants I to IV. [8]

  6. List of trigonometric identities - Wikipedia

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

    Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.

  7. Differentiation of trigonometric functions - Wikipedia

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

    All derivatives of circular trigonometric functions can be found from those of sin(x) and cos(x) by means of the quotient rule applied to functions such as tan(x) = sin(x)/cos(x). Knowing these derivatives, the derivatives of the inverse trigonometric functions are found using implicit differentiation.

  8. Colombian Spanish - Wikipedia

    en.wikipedia.org/wiki/Colombian_Spanish

    The educated speech of Bogotá, a generally conservative variety of Spanish, has high popular prestige among Spanish-speakers throughout the Americas. [ 3 ] The Colombian Academy of Language ( Academia Colombiana de la Lengua ) is the oldest Spanish language academy after Spain's Royal Spanish Academy ; it was founded in 1871.

  9. Mexican Spanish - Wikipedia

    en.wikipedia.org/wiki/Mexican_Spanish

    This is an accepted version of this page This is the latest accepted revision, reviewed on 16 January 2025. Spanish language in Mexico This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Mexican Spanish" – news · newspapers · books · scholar ...