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  2. List of trigonometric identities - Wikipedia

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

    These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.

  3. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    The diagram at right shows a circle with centre O and radius r = 1. Let two radii OA and OB make an arc of θ radians. Since we are considering the limit as θ tends to zero, we may assume θ is a small positive number, say 0 < θ < ⁠ 1 / 2 ⁠ π in the first quadrant.

  4. Baldwin's rules - Wikipedia

    en.wikipedia.org/wiki/Baldwin's_rules

    Baldwin's rules also apply to aldol cyclizations involving enolates. [9] [10] Two new descriptors need to be defined: enolendo and enolexo, which refer to whether both carbons of the enolate C-C fragment are incorporated into the ring formed or not, respectively. The rules are the following: [11]

  5. Rule of twelfths - Wikipedia

    en.wikipedia.org/wiki/Rule_of_twelfths

    Graph showing relationships between the rule of twelfths (coloured bars), a sine wave (dashed blue curve) and a clockface, if high tide occurs at 12:00. The rule of twelfths is an approximation to a sine curve. It can be used as a rule of thumb for estimating a changing quantity where both the quantity and the steps are easily divisible by 12 ...

  6. HUD-1 Settlement Statement - Wikipedia

    en.wikipedia.org/wiki/HUD-1_Settlement_Statement

    The HUD-1 Settlement Statement is a standardized mortgage lending form in use in the United States of America on which creditors or their closing agents itemize all charges imposed on buyers and sellers in consumer credit mortgage transactions. The HUD-1 (or a similar variant called the HUD-1A) is used primarily for reverse mortgages and ...

  7. How many mortgage lenders should I apply to? - AOL

    www.aol.com/finance/many-mortgage-lenders-apply...

    If you apply to multiple lenders outside of a 45-day period, the subsequent credit checks might not be treated as one. That can result in multiple dings to your credit score.

  8. Cremona diagram - Wikipedia

    en.wikipedia.org/wiki/Cremona_diagram

    Starting at joint Aorda, the internal forces can be found by drawing lines in the Cremona diagram representing the forces in the members 1 and 4, going clockwise; V A (going up) load at A (going down), force in member 1 (going down/left), member 4 (going up/right) and closing with V A. As the force in member 1 is towards the joint, the member ...

  9. Bollinger Bands - Wikipedia

    en.wikipedia.org/wiki/Bollinger_Bands

    Financial traders employ these charts as a methodical tool to inform trading decisions, control automated trading systems, or as a component of technical analysis. Bollinger Bands display a graphical band (the envelope maximum and minimum of moving averages , similar to Keltner or Donchian channels ) and volatility (expressed by the width of ...