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  2. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    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. The angles with trigonometric values that are expressible in this way are exactly those that can be constructed with a compass and straight edge , and the values are called ...

  3. 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.

  4. Pythagorean trigonometric identity - Wikipedia

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

    Similar right triangles illustrating the tangent and secant trigonometric functions Trigonometric functions and their reciprocals on the unit circle. The Pythagorean theorem applied to the blue triangle shows the identity 1 + cot 2 θ = csc 2 θ, and applied to the red triangle shows that 1 + tan 2 θ = sec 2 θ.

  5. 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

  6. List of physical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_physical_constants

    The constants listed here are known values of physical constants expressed in SI units; that is, physical quantities that are generally believed to be universal in nature and thus are independent of the unit system in which they are measured. Many of these are redundant, in the sense that they obey a known relationship with other physical ...

  7. Fans Are Showing No Mercy After Subway Launches Their Most ...

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    Regardless of what your thoughts are on Subway, you have to admit that the fast food chain proudly holds its footlong crown high.After solidifying its place in fast food lore with those beloved $5 ...

  8. Fiancé of teacher found with 20 stab wounds suggests what led ...

    www.aol.com/news/fianc-teacher-found-20-stab...

    Philadelphia teacher Ellen Greenberg's death was ruled a suicide after the 27-year-old was found with 20 stab wounds; her fiancé makes his first public statement on her death.

  9. Pregnant Indiana Woman, 25, Has Been Missing for More Than a ...

    www.aol.com/pregnant-indiana-woman-25-missing...

    More than a month after Emma Baum went missing, her family is still looking for answers. The 25-year-old woman was last seen on Oct. 10 in Gary, Indiana, on 25th Avenue and Connecticut Street, ABC ...