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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. Proofs of trigonometric identities - Wikipedia

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

    Identity 1: ⁡ + ⁡ = The following two results follow from this and the ratio identities. To obtain the first, divide both sides of ⁡ + ⁡ = by ⁡; for the second, divide by ⁡.

  4. 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.

  5. EXCLUSIVE: Find out the Wordle puzzle that ended 5.6 ... - AOL

    www.aol.com/exclusive-wordle-puzzle-ended-5...

    The 1,000th Wordle puzzle ran in March, a milestone for the popular game where players tend to stick to a formula, with 2.8 million people using the same starting word every day as proof.

  6. How to Save Money on Groceries This Month, According to Experts

    www.aol.com/save-money-groceries-month-according...

    9. Buy whole vegetables. Look, we get it: pre-chopped vegetables and fruits are a godsend on busy weeknights. A container of chopped onions or peeled garlic saves precious time, but they also tend ...

  7. Police ID woman set on fire in shocking incident on New York ...

    www.aol.com/police-id-woman-set-fire-204337665.html

    Authorities have identified the woman who burned to death after she was set on fire inside a New York City subway train as 57-year-old Debrina Kawam.

  8. Tangent half-angle formula - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle_formula

    The angle between the horizontal line and the shown diagonal is ⁠ 1 / 2 ⁠ (a + b). This is a geometric way to prove the particular tangent half-angle formula that says tan1 / 2 ⁠ (a + b) = (sin a + sin b) / (cos a + cos b). The formulae sin ⁠ 1 / 2 ⁠ (a + b) and cos ⁠ 1 / 2 ⁠ (a + b) are the ratios of the actual distances to ...

  9. Boy, 14, in serious condition after being stabbed - AOL

    www.aol.com/boy-14-serious-condition-being...

    A 14-year-old boy is in a serious condition in hospital following a stabbing in the West Midlands. Police said they were called to Brunel Road, Oldbury, in the early hours, after he was found with ...