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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. Mnemonics in trigonometry - Wikipedia

    en.wikipedia.org/wiki/Mnemonics_in_trigonometry

    Signs of trigonometric functions in each quadrant. All Students Take Calculus is a mnemonic for the sign of each trigonometric functions in each quadrant of the plane. The letters ASTC signify which of the trigonometric functions are positive, starting in the top right 1st quadrant and moving counterclockwise through quadrants 2 to 4.

  5. Forbidden graph characterization - Wikipedia

    en.wikipedia.org/wiki/Forbidden_graph...

    Triangle K 3: Induced subgraph Definition Planar graphs: K 5 and K 3,3: Homeomorphic subgraph Kuratowski's theorem: K 5 and K 3,3: Graph minor Wagner's theorem: Outerplanar graphs: K 4 and K 2,3: Graph minor Diestel (2000), [1] p. 107: Outer 1-planar graphs: Six forbidden minors Graph minor Auer et al. (2013) [2] Graphs of fixed genus: A finite ...

  6. Holiday shoppers increased spending by 3.8% despite higher prices

    www.aol.com/holiday-shoppers-increased-spending...

    The group expects that shoppers will have made $979.5 billion to $989 billion worth of purchases in November and December, which would represent a 2.5%-3.5% increase over the same two-month period ...

  7. 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.

  8. Tampa Bay Rays must decide fate of new stadium deal by Dec. 1

    www.aol.com/tampa-bay-rays-must-decide-135550051...

    The Tampa Bay Rays have until Dec. 1 to declare whether they want to commit to the construction of a $1.3 billion stadium originally voted on in July.. Pinellas County Court Commission Chairperson ...

  9. Survey: Small businesses are feeling more optimistic about ...

    www.aol.com/survey-small-businesses-feeling-more...

    A recent survey shows small business owners are feeling more optimistic about the economy following the election. The Uncertainty Index declined 12 points in November to 98, following October’s ...