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  2. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.

  3. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    When radians (rad) are employed, the angle is given as the length of the arc of the unit circle subtended by it: the angle that subtends an arc of length 1 on the unit circle is 1 rad (≈ 57.3°), and a complete turn (360°) is an angle of 2 π (≈ 6.28) rad. For real number x, the notation sin x, cos x, etc. refers to the value of the ...

  4. 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.

  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. Terrifying video shows maniac with violent history shove ...

    www.aol.com/straphanger-critical-condition-being...

    Chilling video footage obtained by The Post shows the cowardly brute roaming the edge of the platform while the victim appears to be looking at his phone as the train pulls into the station.

  7. Texans' Azeez Al-Shaair says 3-game suspension left him in a ...

    www.aol.com/sports/texans-azeez-al-shaair-says...

    Linebacker Azeez Al-Shaair will be back for the Houston Texans in Week 18 following his three-game suspension for a hit that concussed Trevor Lawrence of the Jacksonville Jaguars on Dec. 1.

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    When you visit AOL.com, you’ve probably noticed banner ads mixed in with the news stories and other content. These advertisements typically appear at the top or right side of the page, sometimes even expanding over your screen. With Ad-Free AOL.com, you’ll no longer see these ads.

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