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math:trigonometry [2025/12/01 21:07] ronmath:trigonometry [2025/12/01 21:09] (current) ron
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     * c<sup>2</sup> = a<sup>2</sup> - y<sup>2</sup> + z<sup>2</sup>     * c<sup>2</sup> = a<sup>2</sup> - y<sup>2</sup> + z<sup>2</sup>
   * removing one of the parts of b (since y + z = b then z = b - y)   * removing one of the parts of b (since y + z = b then z = b - y)
-    * c<sup>2</sup> = a<sup>2</sup> - y<sup>2</sup> + (b - y)<sup>2</sup> +    * c<sup>2</sup> = a<sup>2</sup> - y<sup>2</sup> + (b - y)<sup>2</sup>
   * expanding (b - y)<sup>2</sup>   * expanding (b - y)<sup>2</sup>
     * c<sup>2</sup> = a<sup>2</sup> - y<sup>2</sup> + b<sup>2</sup> - 2 * b * y + y<sup>2</sup>     * c<sup>2</sup> = a<sup>2</sup> - y<sup>2</sup> + b<sup>2</sup> - 2 * b * y + y<sup>2</sup>
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     * c<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup> - 2 * b * y     * c<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup> - 2 * b * y
   * from SOH-CAH-TOA we can state that   * from SOH-CAH-TOA we can state that
-    * cos(C) = y/a so +    * cos(C) = y/a
     * y = a * cos(C)     * y = a * cos(C)
   * substitute for y   * substitute for y
     * c<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup> - 2 * b * a * cos(C) <-- :)     * c<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup> - 2 * b * a * cos(C) <-- :)
math/trigonometry.1764623259.txt.gz · Last modified: 2025/12/01 21:07 by ron

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