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if the point (3/4,4/5) corresponds to an angle in the unit circle what is sec?
 Apr 11, 2014
 #1
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if the point (3/4,4/5) corresponds to an angle in the unit circle what is sec?

Note that the basic identity for the sec = r / x

So, since we have a unit circle, r = 1 and we have

(r) / (x) = (1) / (3/4) = 4/3
 Apr 11, 2014
 #2
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Qualababy18:

if the point (3/4,4/5) corresponds to an angle in the unit circle what is sec?



I think you must mean the point (3/5, 4/5) as (3/4, 4/5) is not on the unit circle. The distance of this point from the origin is 1 by definition of "unit circle". If the angle you are talking about is that between the radial-line-from-the-origin-to-this-point and the x-axis, then the secant (sec) of this angle, which is 1/cos of this angle, is given by 1/xvalue = 1/(3/5) or 5/3.
 Apr 11, 2014

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