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

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1. satellite73

|dw:1337740872787:dw|

2. satellite73

there 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 $$\sec(x)=\frac{5}{4}$$

3. satellite73

now 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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