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12 votes
12 votes
If O is an angle in standard position and its terminal side passes through the point(-12,-5), find the exact value of sec 0 in simplest radical form.

User Hrdwdmrbl
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1 Answer

13 votes
13 votes

Ok, let's start by calculating the distance between the point and the origin, ok? Remember the origin is the point (0,0)


d\text{ = }\sqrt[]{(-12-0)^2+(-5-0)^2}


\begin{gathered} d\text{ = }\sqrt[]{144\text{ + 25 }} \\ d=\text{ }\sqrt[]{169} \\ d\text{ = 13} \end{gathered}

As the angle O is in standard position, adjacent leg = -12, opposite leg= -5 and hypotenuse = 13.

sec O = h/a

sec O= 13/-12


\sec O=-1(1)/(12)

User Nico Albers
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2.9k points
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