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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. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    In mathematics, the values of the trigonometric functions can be expressed approximately, as in ⁡ (/), or exactly, as in ⁡ (/) = /.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.

  4. Proofs of trigonometric identities - Wikipedia

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

    This geometric argument relies on definitions of arc length and area, which act as assumptions, so it is rather a condition imposed in construction of trigonometric functions than a provable property. [2] 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 ...

  5. 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.

  6. 12 Tips for Healthy Holiday Eating

    www.aol.com/12-tips-healthy-holiday-eating...

    1. Choose Your Guilt-Free Days Carefully. Whether you’re on a weight loss journey or just trying to stay fit, you don’t need to avoid all the festive foods you love. But you also don’t need ...

  7. The 6 best and 6 worst celebrity Christmas albums - AOL

    www.aol.com/6-best-6-worst-celebrity-192259339.html

    Every year, celebrities try to capitalize on the holiday season by releasing festive music. Singers like Mariah Carey, Ariana Grande, and Michael Bublé managed to perfect the cheesy art form.

  8. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  9. Bake Better Cookies by Avoiding These 5 Common Mistakes - AOL

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    25 of the very best deals from Nordstrom's Half-Yearly Sale: Rothy's, Le Creuset, Hoka and more

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