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Expert: - 5/13/2008


Question
How can you prove that sin theta divided by cos theta equals tan theta? Please explain in details I will appreciate it very much

Answer
Questioner:   flor
Category:  Advanced Math
Private:  No
 
Subject:  trigonometry
Question:  How can you prove that sin theta divided by cos theta equals tan theta? Please explain in details I will appreciate it very much
.......................................
Hi, flor,

How about using the definitions?
        y
sin t = ---
        r

        x
cos t = ---
        r

        y
tan t = ---
        x
Now

sin t   y/r
----- = ---
cos t   x/r

sin t   y r
----- = - -
cos t   r x

sin t   y
----- = -
cos t   x

sin t   
----- = tan t
cos t  

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