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  2. 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.

  3. List of conversion factors - Wikipedia

    en.wikipedia.org/wiki/List_of_conversion_factors

    1 dyn/cm 2 = 0.1 Pa centimetre of mercury: cmHg ≡ 13 595.1 kg/m 3 × 1 cm × g 0: ≈ 1.333 22 × 10 3 Pa [33] centimetre of water (4 °C) cmH 2 O ≈ 999.972 kg/m 3 × 1 cm × g 0: ≈ 98.0638 Pa [33] foot of mercury (conventional) ftHg ≡ 13 595.1 kg/m 3 × 1 ft × g 0: ≈ 4.063 666 × 10 4 Pa [33] foot of water (39.2 °F) ftH 2 O ≈ ...

  4. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained. By symmetry, the bisected side is half of the side of the equilateral triangle, so one concludes sin ⁡ ( 30 ∘ ) = 1 / 2 {\displaystyle \sin(30^{\circ ...

  5. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    In this way, this trigonometric identity involving the tangent and the secant follows from the Pythagorean theorem. The angle opposite the leg of length 1 (this angle can be labeled φ = π/2 − θ) has cotangent equal to the length of the other leg, and cosecant equal to the length of the hypotenuse. In that way, this trigonometric identity ...

  6. 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.

  7. Hidden ticket fees and vacation rental charges banned in America

    www.aol.com/hidden-ticket-fees-vacation-rental...

    The Federal Trade Commission announced a final rule banning ticketing and short-term rental companies from including hidden junk fees in their total price on Tuesday.

  8. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = ⁡ (″) and the above approximation follows when tan X is replaced by X.

  9. Today’s NYT ‘Strands’ Hints, Spangram and Answers for Tuesday ...

    www.aol.com/today-nyt-strands-hints-spangram...

    You can get TurboTax for 30% off on Amazon today. See all deals. In Other News. Entertainment. Entertainment. CNN. Danielle Fishel says she has completed radiation treatment after breast cancer ...