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  2. List of trigonometric identities - Wikipedia

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

    In the special cases of one of the diagonals or sides being a diameter of the circle, this theorem gives rise directly to the angle sum and difference trigonometric identities. [17] The relationship follows most easily when the circle is constructed to have a diameter of length one, as shown here.

  3. Mnemonics in trigonometry - Wikipedia

    en.wikipedia.org/wiki/Mnemonics_in_trigonometry

    Quadrant 3 (angles from 180 to 270 degrees, or π to 3π/2 radians): Tangent and cotangent functions are positive in this quadrant. Quadrant 4 (angles from 270 to 360 degrees, or 3π/2 to 2π radians): Cosine and secant functions are positive in this quadrant. Other mnemonics include: All Stations To Central [6] All Silly Tom Cats [6]

  4. Law of tangents - Wikipedia

    en.wikipedia.org/wiki/Law_of_tangents

    In trigonometry, the law of tangents or tangent rule [1] is a statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides. In Figure 1, a , b , and c are the lengths of the three sides of the triangle, and α , β , and γ are the angles opposite those three respective sides.

  5. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    The cosine rule may be used to give the angles A, B, and C but, to avoid ambiguities, the half angle formulae are preferred. Case 2: two sides and an included angle given (SAS). The cosine rule gives a and then we are back to Case 1. Case 3: two sides and an opposite angle given (SSA). The sine rule gives C and then we have Case 7. There are ...

  6. Azimuth - Wikipedia

    en.wikipedia.org/wiki/Azimuth

    Moving clockwise on a 360 degree circle, east has azimuth 90°, south 180°, and west 270°. ... 225° West-southwest 247.5° West 270° West-northwest 292.5° Northwest

  7. What to watch: Week 10 college football viewing guide

    www.aol.com/sports/watch-week-10-college...

    The record is probably out of reach, but we can’t totally rule it out. Oregon hasn’t scored fewer than 31 points against an FBS opponent this season and the only time Michigan has allowed 31 ...

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    Save up to 60% on brands the whole family will love, like Carhartt, Staud, Kendra Scott, Anastasia Beverly Hills and more.

  9. 10 of the Most Expensive Fines in Football - AOL

    www.aol.com/10-most-expensive-fines-football...

    NFL players have sky-high salaries and contracts that would make the average person feel faint. They also get slapped with fines left and right, some frivolous and some substantial.