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  2. 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.

  3. 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 ...

  4. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Given two sides a and b and the angle between the sides C, the area of the triangle is given by half the product of the lengths of two sides and the sine of the angle between the two sides: [85] Area = Δ = 1 2 a b sin ⁡ C {\displaystyle {\mbox{Area}}=\Delta ={\frac {1}{2}}ab\sin C}

  5. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    Even with these restrictions, if the polar angle (inclination) is 0° or 180°—elevation is −90° or +90°—then the azimuth angle is arbitrary; and if r is zero, both azimuth and polar angles are arbitrary. To define the coordinates as unique, the user can assert the convention that (in these cases) the arbitrary coordinates are set to zero.

  6. Supreme Court to hear challenge related to California's tough ...

    www.aol.com/supreme-court-hear-challenge...

    California’s request to impose standards well beyond that is pending with the EPA. The state wants to end the sale of new vehicles that run solely on gasoline by 2035.

  7. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    An angle larger than a straight angle but less than 1 turn (between 180° and 360°) is called a reflex angle. An angle equal to 1 turn (360° or 2 π radians) is called a full angle, complete angle, round angle or perigon. An angle that is not a multiple of a right angle is called an oblique angle.

  8. California approves rules for recycling toilet water for ...

    www.aol.com/california-approves-rules-recycling...

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  9. California issues landmark rules to improve home ... - AOL

    www.aol.com/news/california-issues-landmark...

    Under new rules intended to stabilize California's troubled home insurance market, insurers will be able to set rates by drawing on a wide swath of meteorological, geographic and other data in ...