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How do I find the value of sec 5pi / 6?

1 Answer

Apr 1, 2018

#color(blue)(-(2sqrt(3))/3#

Explanation:

#sec((5pi)/6)#

Identity:

#color(red)bb(sec(x)=1/cos(x))#

#cos((5pi)/6)=-cos(pi-(5pi)/6)=-cos(pi/6)=-sqrt(3)/2#

#sec((5pi)/6)=1/-cos((pi)/6)=1/((-sqrt(3))/2)=color(blue)(-(2sqrt(3))/3#

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