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14 July, 15:42

Find cos θ if sin θ = - (5/13) and tan θ > 0

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  1. 14 July, 16:07
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    Remember:

    sin²x + cos²x = 1

    (-5/13) ² + cos² θ = 1

    (25/169) + cos² θ = 1

    cos² θ = 1 - (25/169)

    cos² θ = (144/169)

    tan θ > 0 ⇒ cos θ = negative

    cos θ = - √ (144/169)

    cos θ = - (12/13)
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