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  2. Integral of the secant function - Wikipedia

    en.wikipedia.org/wiki/Integral_of_the_secant...

    A standard method of evaluating the secant integral presented in various references involves multiplying the numerator and denominator by sec θ + tan θ and then using the substitution u = sec θ + tan θ. This substitution can be obtained from the derivatives of secant and tangent added together, which have secant as a common factor. [6]

  3. Integral of secant cubed - Wikipedia

    en.wikipedia.org/wiki/Integral_of_secant_cubed

    The integral of secant cubed is a frequent and challenging [1] indefinite integral of elementary calculus: ⁡ = ⁡ ⁡ + ⁡ + = (⁡ ⁡ + ⁡ | ⁡ + ⁡ |) + = (⁡ ⁡ + ⁡) +, | | < where is the inverse Gudermannian function, the integral of the secant function.

  4. List of trigonometric identities - Wikipedia

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

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  5. 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.

  6. Sec (x) - Wikipedia

    en.wikipedia.org/?title=Sec(x)&redirect=no

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    “The SEC has not approved the listing and trading of spot bitcoin exchange-traded products,” Gensler wrote on X. The phony post was deleted 25 minutes after it went up, but that was enough to ...

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  9. List of integrals of trigonometric functions - Wikipedia

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

    Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Unsourced material may be challenged and removed. Find sources: "List of integrals of trigonometric functions" – news · newspapers · books · scholar · JSTOR ( April 2024 ) ( Learn how and when to remove this message )