If sin(theta)=X, then express sec(theta) in terms of x

If sin(theta)=X, then express sec(theta) in terms of x

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The answer I got was \[\sqrt{1-(1/x)^2}\] Would this be correct?

|dw:1438813890812:dw|
use pythagorean theorem to find the other side

and recall for secant use hyp/adj

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