MATH 1010U Lecture Notes - Lecture 1: Asymptote, Inverse Trigonometric Functions, Total Internal Reflection

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9 Oct 2016
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Note: remember to do the posted reading on sections 1. 1-1. 4 and the 1st part of. 1. 5 it"s important high school review, and you will be tested on it for more practice, check out the pre-calc package at http://faculty. uoit. ca/kay/precalc and do the homework posted in the pre-calc checklist. So, what if you"re asked to solve sin. Notation: in the above example, we want x sin 1. Caution: it is important to understand that sin ( )x1 is not the same as (sin ( ) 1) To find an inverse, we must restrict the domain to ensure that the function is one-to-one. sin 1 x y sin y x. Application: a compound lens is made from crown glass (n = 1. 52) bonded to flint glass (n = 1. 89). [some physics background: refraction is the bending of light at an interface between transparent mediums. Total internal reflection occurs when light propagating in a medium with refractive index.

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