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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. 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.

  4. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    satisfying respectively y(0) = 0, y′(0) = 1 and y(0) = 1, y′(0) = 0. It follows from the theory of ordinary differential equations that the first solution, sine, has the second, cosine, as its derivative, and it follows from this that the derivative of cosine is the negative of the sine. The identity is equivalent to the assertion that the ...

  5. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = ⁡ (″) and the above approximation follows when tan X is replaced by X.

  6. Ex-Google CEO Eric Schmidt says human operators need to have ...

    www.aol.com/ex-google-ceo-eric-schmidt-163658792...

    Former Google CEO Eric Schmidt says human-directed AI-controlled drones are the future of war. Schmidt's startup, White Stork, is developing drones for Ukraine to use in its war with Russia.

  7. Hornets' Grant Williams to miss remainder of 2024-25 season ...

    www.aol.com/sports/hornets-grant-williams-miss...

    In 16 games this season (seven starts). Williams averaged 10.4 points, 5.1 rebounds, 2.3 assists, 1.1 steals and 30 minutes. He was shooting 37% on 3-pointers as well.

  8. Toledo tops Pitt in 6 OTs to win GameAbove Sports Bowl after ...

    www.aol.com/toledo-tops-pitt-6-ots-000421159.html

    Toledo was up 20-12 at halftime, but Pitt outscored the Rockets in the third quarter to take the lead. In the fourth quarter, Toledo got a pick-six and a game-tying field goal to send the game to OT.

  9. 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.