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  2. List of trigonometric identities - Wikipedia

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

    where is the k th-degree elementary symmetric polynomial in the n variables = ⁡, =, …,, and the number of terms in the denominator and the number of factors in the product in the numerator depend on the number of terms in the sum on the left. [16]

  3. Conversion of scales of temperature - Wikipedia

    en.wikipedia.org/wiki/Conversion_of_scales_of...

    To convert a delta temperature from degrees Fahrenheit to degrees Celsius, the formula is {ΔT} °F = ⁠ 9 / 5 ⁠ {ΔT} °C. To convert a delta temperature from degrees Celsius to kelvin, it is 1:1 ({ΔT} °C = {ΔT} K).

  4. Tan-1 - Wikipedia

    en.wikipedia.org/wiki/Tan-1

    Tan-1, TAN-1, tan-1, or tan −1 may refer to: tan −1 y = tan −1 ( x ), sometimes interpreted as arctan( x ) or arctangent of x , the compositional inverse of the trigonometric function tangent (see below for ambiguity)

  5. 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 ...

  6. Degree (temperature) - Wikipedia

    en.wikipedia.org/wiki/Degree_(temperature)

    Unlike the degree Fahrenheit and degree Celsius, the kelvin is no longer referred to or written as a degree (but was before 1967 [1] [2] [3]). The kelvin is the primary unit of temperature measurement in the physical sciences, but is often used in conjunction with the degree Celsius, which has the same magnitude. Other scales of temperature:

  7. Proofs of trigonometric identities - Wikipedia

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

    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 θ < θ. So we have ⁡ < <. For negative values of θ we have, by the symmetry of the sine function

  8. Vincenty's formulae - Wikipedia

    en.wikipedia.org/wiki/Vincenty's_formulae

    Φ 1, Φ 2: latitude of the points; U 1 = arctan( (1 − ƒ) tan Φ 1), U 2 = arctan( (1 − ƒ) tan Φ 2) reduced latitude (latitude on the auxiliary sphere) L 1, L 2: longitude of the points; L = L 2 − L 1: difference in longitude of two points; λ: Difference in longitude of the points on the auxiliary sphere; α 1, α 2: forward azimuths ...

  9. Arctangent series - Wikipedia

    en.wikipedia.org/wiki/Arctangent_series

    The derivative of arctan x is 1 / (1 + x 2); conversely, the integral of 1 / (1 + x 2) is arctan x. If = ...