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About Paul Klarreich
Expertise
I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience
I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

 
   

You are here:  Experts > Science > Mathematics > Advanced Math > Trigonometric functions - definitions

Topic: Advanced Math



Expert: Paul Klarreich
Date: 5/13/2008
Subject: Trigonometric functions - definitions

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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