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  General
  
 The six trigonometric functions sine  , cosine  , tangent  , cotangent  , cosecant  , and secant   are well known and among the most frequently used elementary functions. The most popular functions  ,  ,  , and   are taught worldwide in high school programs because of their natural appearance in problems involving angle measurement and their wide applications in the quantitative sciences.  
 The trigonometric functions share many common properties. 
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