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  2. Law of cosines - Wikipedia

    en.wikipedia.org/wiki/Law_of_cosines

    Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c.. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

  3. List of trigonometric identities - Wikipedia

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

    When the direction of a Euclidean vector is represented by an angle , this is the angle determined by the free vector (starting at the origin) and the positive -unit vector. The same concept may also be applied to lines in a Euclidean space, where the angle is that determined by a parallel to the given line through the origin and the positive x ...

  4. cis (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Cis_(mathematics)

    The mathematics of trigonometry and exponentials are related but not exactly the same; exponential notation emphasizes the whole, whereas cis x and cos x + i sin x notations emphasize the parts. This can be rhetorically useful to mathematicians and engineers when discussing this function, and further serve as a mnemonic (for cos + i sin ).

  5. 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.

  6. Law of sines - Wikipedia

    en.wikipedia.org/wiki/Law_of_sines

    In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, ⁡ = ⁡ = ⁡ =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.

  7. Australia to charge tech companies for news content if they ...

    www.aol.com/news/australia-charge-tech-companies...

    SYDNEY (Reuters) -Australia's centre-left government said on Thursday it planned new rules that would charge big tech firms millions of dollars if they did not pay Australian media companies for ...

  8. American Airlines plane narrowly avoids crashing into Hawaii ...

    www.aol.com/news/american-airlines-plane...

    An American Airlines flight narrowly avoided crashing into a mountain range in Hawaii, officials said.

  9. Convicted felons, such as Trump, can get permits to enter ...

    www.aol.com/convicted-felons-trump-permits-enter...

    The claim: Donald Trump can't travel to Canada because he is a convicted felon. A Dec. 3 Threads post (direct link, archive link) offers a theory as to why Canadian Prime Minister Justin Trudeau ...

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