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What is the reciprocal of sin(x), or what is 1/sin(x) equal to in terms of trigonometric ratios? Please answer simply, as I am a high school student, not a mathematician.

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    $r = \frac{a}{b} \iff \frac{1}{r} = \frac{b}{a}$2012-03-22

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Once you said it's $\dfrac{1}{\sin x}$, you've already got a "trigonometric ratio". It's also equal to $\dfrac{\sec x}{\tan x}$. Or you can say it's $\dfrac{\text{hypotenuse}}{\text{opposite}}$. All of those are ratios.