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Unformatted text preview: increasing and therefore onetoone. You can even find domains where it is decreasing. The sine function will be onetoone there, too. You can define lots of inverses for the sine function. However, mathematicians established a convention to use [ /2, /2] for the standard inverse sine function. Here are the graphs of the inverses of sine, cosine, and tangent. They are labeled arcsine , arccosine , and arctangent , respectively, instead of using the 1 notation. Notice that arccosine is defined by a different interval than the others. The cosine function is restricted to the interval [0, ] in order to define its inverse. Tangent is restricted to [ /2, /2], just like sine. The vertical asymptotes for tangent are translated into horizontal asymptotes for arctangent....
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.
 Spring '10
 hyon

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