Section+2.4A+9-26

Today in class we looked at the Math Reflections for Section 2A as well as discussed properties with complex numbers.

math $ \frac{\pi }{6} and \frac{\pi }{3} $ math add you add the two factions to get math $ \frac{\pi }{2} $ math
 * When multiplying two complex numbers, the magnitudes are multiplied while the arguments are added. For example if the two magnitudes are 3 and 4, the magnitude of the product is 12. If the arguments are

math $ \frac{\pi }{2} $ math and the magnitude doubles
 * With this same idea, when complex numbers have an exponent, the magnitude grows exponentially (Ex. 3 turns into 27 when cubed) and the argument is multiplied by the exponent.
 * When multiplying point by 2i, the point rotates

These three points were what was mainly covered in class as well as solving a problem that asks to show how math $ \frac{1}{z} = \frac{\bar{z}}{\left | x + yi \right |} $ math {Mrs. Tyson -- something is not quite right in the previous formula} This can be proven when multiplying by: math $ \frac{x-yi}{x-yi} $ math