SOLUTION: How do I find tan &#952; if sec &#952; = square root of twenty six divided by five and sin &#952; < 0?

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Question 831593: How do I find tan θ if sec θ = square root of twenty six divided by five and sin θ < 0?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find tan θ if sec θ = square root of twenty six divided by five and sin θ < 0?
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Under those conditions theta must be in QIV where x > 0 and y < 0.
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Since sec = r/x, r = sqrt(26) and x = 5
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Then y = -sqrt(26-25) = -1
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Ans: tan(t) = y/x = -1/5
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Cheers,
Stan H.
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