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Simplify Trigonometric Expression

  1. Mar 11, 2013 #1
    1. The problem statement, all variables and given/known data
    Simplify the following trigonometric expression:
    cscθtanθsecθ


    2. Relevant equations
    tanθ = sinθ/cosθ
    sin^2θ + cos^2θ = 1
    cscθ = 1/sinθ
    secθ = 1/cosθ
    cotθ = 1/tanθ

    3. The attempt at a solution
    I just want to double check my solution.
    cscθtanθsecθ = 1/sinθ x sinθ/cosθ x 1/cosθ
    = ((sin^2θ + cos^2θ) x sinθ x 1)/sinθ x cosθ x cosθ
    = sin^2θ x 1
    = sin^2θ

    Thank you!
     
  2. jcsd
  3. Mar 11, 2013 #2

    Mark44

    Staff: Mentor

    You're OK to here, but not below. Why not simplify by doing some cancelling?
     
  4. Mar 11, 2013 #3

    Mark44

    Staff: Mentor

    What you have above isn't incorrect, but it isn't helpful, either. I don't know how you got the line that follows (sin^2θ x 1) from this.
     
  5. Mar 11, 2013 #4
    Hmm okay would I cancel out the sinθ in 1/sinθ x sinθ/cosθ x 1/cosθ so it simplifies to 1/cos^2θ?
     
  6. Mar 11, 2013 #5

    Mark44

    Staff: Mentor

    Yes.
     
  7. Mar 11, 2013 #6
    Oh okay. Thanks :)
     
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