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!