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Unformatted text preview: increasing and therefore one-to-one. You can even find domains where it is decreasing. The sine function will be one-to-one 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