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toadytica305
 3 years ago
If sin(x) = 3/5 with x in quadrant IV, find the sec(x)
toadytica305
 3 years ago
If sin(x) = 3/5 with x in quadrant IV, find the sec(x)

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satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1337740872787:dw

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0there is a picture of an angle \(x\) with \(\sin(x)=\frac{3}{5}\) part of the familiar 3  4  5 right triangle, so we know the other side is 4 therefore \(\cos(x)=\frac{4}{5}\) and \(\sec(x)=\frac{5}{4}\)

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0now we can think about the quadrant. in quadrant IV cosine is positive, and therefore so is secant. so your answer is \(\sec(x)=\frac{5}{4}\)
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