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  2. Proofs of trigonometric identities - Wikipedia

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

    Let PQ be a line perpendicular to line OQ defined by angle , drawn from point Q on this line to point P. OQP is a right angle. Let QA be a perpendicular from point A on the x -axis to Q and PB be a perpendicular from point B on the x -axis to P. ∴ {\displaystyle \therefore } OAQ and OBP are right angles.

  3. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    Using the squeeze theorem, [4] we can prove that ⁡ =, which is a formal restatement of the approximation ⁡ for small values of θ. A more careful application of the squeeze theorem proves that lim θ → 0 tan ⁡ ( θ ) θ = 1 , {\displaystyle \lim _{\theta \to 0}{\frac {\tan(\theta )}{\theta }}=1,} from which we conclude that tan ⁡ ( θ ...

  4. Tangent half-angle substitution - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle...

    Here is another geometric point of view. Draw the unit circle, and let P be the point (−1, 0). A line through P (except the vertical line) is determined by its slope. Furthermore, each of the lines (except the vertical line) intersects the unit circle in exactly two points, one of which is P. This determines a function from points on the unit ...

  5. College Football Playoff: Georgia QB Carson Beck undergoes ...

    www.aol.com/college-football-playoff-georgia-qb...

    Beck missed the second half of the game, though backup quarterback Gunner Stockton took over and led the Bulldogs to the win in overtime. That secured them a spot in the College Football Playoff ...

  6. College Football Playoff quarterfinal schedule, matchups ...

    www.aol.com/sports/college-football-playoff-odds...

    We have a new favorite to win the College Football Playoff after the first round.. No. 5 seed Texas is +300 to win it all at BetMGM after its 38-24 win over No. 12 Clemson on Saturday. The ...

  7. Vanderbilt QB Diego Pavia granted injunction to play in 2025 ...

    www.aol.com/sports/vanderbilt-qb-diego-pavia...

    Vanderbilt quarterback Diego Pavia was granted a major legal win on Wednesday when a judge granted him an injunction allowing him to play the 2025 season.. Pavia filed a lawsuit against the NCAA ...

  8. 2008 Cincinnati Bearcats football team - Wikipedia

    en.wikipedia.org/wiki/2008_Cincinnati_Bearcats...

    The 2008 Cincinnati Bearcats football team represented the University of Cincinnati in the 2008 NCAA Division I FBS football season.The team, coached by Brian Kelly, played its homes game in Nippert Stadium.

  9. NFL fines Bengals RB Chase Brown $5,481 for using ... - AOL

    www.aol.com/sports/nfl-fines-bengals-rb-chase...

    The NFL has fined Cincinnati Bengals running back Chase Brown for his touchdown celebration that saw him jump into a Salvation Army kettle at AT&T Stadium in Dallas on Monday night.. Brown will ...