What is the value of sec 180°???

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Answer 1 · 2018-06-21T18:07:37

$sec(180°)=-1$

$sec(180°)=1/(cos(180°))=1/-1=-1$

Answer 2 · 2018-06-21T23:55:20

$-1$

$secx$ is defined as $1/cosx$ , so we are essentially being asked to find

$1/cos180$

The coordinates of $180^@$ on the unit circle are $(-1,0)$ , where the $x$ -coordinate is the cosine value. This means

$cos180=-1$ , which means

$1/cos180=-1$ , which means that

$sec180=-1$

Hope this helps!