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Rearranging Trigonometric Functions

  1. Feb 4, 2014 #1
    This is my very first post - so i hope I don't break any rules - its more of a formula rearranging question/confirmation so here goes...

    1. The problem statement, all variables and given/known data
    Currently working on friction - static/kinetic - so in my text book it states in a side bar "info bit" that

    tanθ=sinθ/cosθ my question is : can this equation be rearranged - see below...


    2. Relevant equations

    so if tanθ=sinθ/cosθ then does sinθ=(tanθ)(cosθ) and does cosθ=sinθ/tanθ


    3. The attempt at a solution

    I haven't come across any questions so far where i would need to use sinθ=(tanθ)(cosθ) and cosθ=sinθ/tanθ - more or less a general question of would I encounter having to use the sinθ=(tanθ)(cosθ) and cosθ=sinθ/tanθ rather than tanθ=sinθ/cosθ - numerically it works, but are these variations used?


    Hope this wasn't clear as mud... If i can provide any more info - let me know!

    :bugeye:
     
  2. jcsd
  3. Feb 4, 2014 #2

    collinsmark

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    Homework Helper
    Gold Member

    Hello talknerdy2me,

    Welcome to Physics Forums! :smile:

    Yes.

    Yep. You got it. :smile:

    If it helps, this might make it a little more easy to remember:

    [tex] \sin \theta = \frac{\text{opposite}}{\text{hypotenuse}} [/tex]
    [tex] \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}} [/tex]
    [tex] \tan \theta = \frac{\text{opposite}}{\text{adjacent}} [/tex]
    If you can remember those, the other relationships you mentioned above should fall into place.
     
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