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Q&A #193

Teachers' Lounge Discussion: Trigonometry Ratios

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From: Loyd <Loydlin@aol.com>
To: Teacher2Teacher Public Discussion
Date: 2002060205:53:15
Subject: Re: Re: Trig Ratios

On 2001052908:09:48, loyd wrote:
>Or alternatively:
>
>Oscar Hit A Homerun Over Alaska.
>

In the late 40's, students in my trig class would listen to the old
country song on the juke box that went:

"Signed, sealed and delivered..." and soon they substituted the
phrase, "Sine, Cosine and Tangent...." That phrase helped to remember
the order; sine, cosine and tangent.

          O             Oscar
Sine  = ----        =   -------
          H              Hit

          A               A 
Cosine  =---         =--------
          H            Homerun

           O            Over
Tangent = ----       = -------
           A           Alaska   

To find the reciprocal functions, just remember 

Sin theta goes with the co secant
cosine goes with the secant
tangent goes with the co tangent.  

Each pair has a "co."  For example, sin does not have a "co" so the
only logical one to pick is the cosecant as the reciprocal function.
Thus:

            H             
Cosecant  = ----        
            O             

           H    
Secant =  ---   
           A    

             A         
Cotangent = ----   
             O       


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