Elementary Functions MATH 150
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This 2 page Class Notes was uploaded by Theresia Hyatt DDS on Monday September 21, 2015. The Class Notes belongs to MATH 150 at Ohio State University taught by Staff in Fall. Since its upload, it has received 5 views. For similar materials see /class/209941/math-150-ohio-state-university in Mathematics (M) at Ohio State University.
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Date Created: 09/21/15
y sinx One to one y sin391 x It 7 Domain 3 3 1 1 Range 1 1 i i Now look at 1 Sin71sinx x if x E In both cases X must 2 2 belong to the range of the outer function 2 sinsin391 x x if x e 1 1 y cosx One to one y 0054 x Domain 0 7r 1 1 Range 1 1 0 It Again 3 008710305 96 x if x E 05 Here also in both cases X must belong to the 4 coscos391 x x if x e 1 1 range 0fthe outer function y tanx One to one y tan391 x It 7 Domain 3 3 oo 00 It 7 Range oo oo 3 Now look at 5 tanrltan x x if x E Once again in both 2 2 cases X must belong to the range of the outer function 6 tantan391 x x if x e 0000 71 gt When you try to nd the value of a problem such as Slncos you must pay attention to two different things 1 Is the inverse part of the problem de ned for the indicated value In this problem the question is 00571 de ned for If it is de ned then the next concern should be that 71 2 The angle that corresponds to cos must fall within the rage of 00571 which is 0 So when you do the problem as explained in the class that nd sin 639 1 when cos 6 E make sure that the 639 is with in the legal limits Ithought that we had a good class today I enjoyed trying to answering your questions
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