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March 28, 2017

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If tan theta = sin theta, and theta is greater than or equal to 0 and less than or equal to 2 pi. find cos theta and what is theta

  • trig - ,

    tanØ = sinØ , 0 ≤ Ø ≤ 2π

    sinØ/cosØ = sinØ
    sinØ = sinØcosØ
    sinØ - sinØcosØ = 0
    sinØ(1 - cosØ)=0
    sinØ = 0 or cosØ = 1

    Ø = 0, π , 2π or Ø = 0 , 2π
    Ø = 0 , π , 2π

    then if Ø = 0 or 2π , cosØ = 1
    if Ø = π , then cosØ = -1

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