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Thread: Determine θ

  1. #1
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    Determine θ

    How do I solve this question?

    If cos θ = -5/13 and 0 θ ≤ 2π. Determine tan θ

    I've been stuck on this question and I dont know how to go about this.
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  2. #2
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    Re: Determine θ

    Use the identities $\tan^2{\theta} = \sec^2{\theta}-1$ and $\sec{\theta} = \dfrac{1}{\cos{\theta}}$
    Thanks from khaezyline
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  3. #3
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    Re: Determine θ

    Method 2 ... sketch reference triangles in quadrants II and III

    $\cos{\theta} = \dfrac{adjacent}{hypotenuse}$

    $\tan{\theta} = \dfrac{opposite}{adjacent}$
    Attached Thumbnails Attached Thumbnails Determine θ-f62fcf38-b069-47a8-95eb-4aa2a84d0409.png  
    Thanks from khaezyline and HallsofIvy
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