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Trig problems

  1. Sep 19, 2012 #1
    tan 2θ= -1

    I don't understand how to work this question could someone walk me through it?

    ranging between -180 and 180
     
    Last edited: Sep 20, 2012
  2. jcsd
  3. Sep 19, 2012 #2

    Mentallic

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    For what value of x does [itex]\tan(x)=-1[/itex] ?
     
  4. Sep 19, 2012 #3
    I believe -45
     
  5. Sep 20, 2012 #4
    deleted
     
    Last edited: Sep 20, 2012
  6. Sep 20, 2012 #5

    micromass

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    Is that the only value??
     
  7. Sep 20, 2012 #6
    Yes what are the possible values of theta and I'm sure, I haven't started working in radians at school as yet... =/
     
  8. Sep 20, 2012 #7

    Mentallic

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    Ok so you know that there are infinitely many solutions to tan(x)=-1 right? Because just like how the sin and cos graphs go on forever, the tan function does as well. Anyway, are you expected to find all the solution for θ between -180o and 180o?

    And another thing, if tan(-45o)=-1 and we have that 2θ=-45o then what is θ?
     
  9. Sep 20, 2012 #8
    Theta would be -22.5 oh and I forgot to mention the question asked between -180 and 180 sorry.
     
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