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  2. Proofs of trigonometric identities - Wikipedia

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

    The six trigonometric functions are defined for every real number, except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°). Referring to the diagram at the right, the six trigonometric functions of θ are, for angles smaller than the right angle:

  3. Tangent half-angle substitution - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle...

    As t goes from 0 to 1, the point follows the part of the circle in the first quadrant from (1, 0) to (0, 1). Finally, as t goes from 1 to +∞, the point follows the part of the circle in the second quadrant from (0, 1) to (−1, 0). Here is another geometric point of view. Draw the unit circle, and let P be the point (−1, 0).

  4. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    In the integral , we may use = ⁡, = ⁡, = ⁡. Then, = ⁡ ⁡ = ⁡ (⁡) = ⁡ ⁡ = = + = ⁡ +. The above step requires that > and ⁡ > We can choose to be the principal root of , and impose the restriction / < < / by using the inverse sine function.

  5. 'Top Chef' holiday ham is sweet and spicy: Here's the recipe ...

    www.aol.com/top-chef-holiday-ham-sweet-100040850...

    Prepare the ham. 1. Preheat your oven to 325 degrees Fahrenheit. 2. Place the ham cut-side down in a roasting pan. Bake the ham. 3. Insert cloves into the ham, spacing them 1 inch apart.

  6. Nearly 30% of US drugstores closed in one decade, study shows

    www.aol.com/nearly-30-us-drugstores-closed...

    The study found that more than 29% of the nearly 89,000 retail U.S. pharmacies that operated between 2010 and 2020 had closed by 2021. ... 34-0 over Saints ... Darius Garland scores 23 and NBA ...

  7. Grubhub to pay $25 million for misleading customers ... - AOL

    www.aol.com/news/grubhub-pay-25-million...

    (Reuters) -Grubhub settled with the U.S. Federal Trade Commission and Illinois Attorney General Kwame Raoul on Tuesday for allegedly misleading customers about order fees, adding restaurants to ...

  8. Differentiation of trigonometric functions - Wikipedia

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

    We conclude that for 0 < θ < ⁠ 1 / 2 ⁠ π, the quantity sin(θ)/θ is always less than 1 and always greater than cos(θ). Thus, as θ gets closer to 0, sin(θ)/θ is "squeezed" between a ceiling at height 1 and a floor at height cos θ, which rises towards 1; hence sin(θ)/θ must tend to 1 as θ tends to 0 from the positive side:

  9. Dying To Be Free - The Huffington Post

    projects.huffingtonpost.com/dying-to-be-free...

    The opioid epidemic took hold in the U.S. in the 1990s. Percocet, OxyContin and Opana became commonplace wherever chronic pain met a chronic lack of access to quality health care, especially in Appalachia. The Centers for Disease Control and Prevention calls the prescription opioid epidemic the worst of its kind in U.S. history.