l8ovesEarmeggy l8ovesEarmeggy

05-08-2016
Mathematics

Answered

Evaluate w/o using a calulator:

sec (11 pi/6)

Verified Answer :

HomertheGenius HomertheGenius

05-08-2016

sec ( 11π/6 ) = 1/ cos ( 11π / 6 ) = 1 / cos ( 2π - π/6 ) =
= 1 / cos ( - π/6 ) = 1 / cos ( - 30°) = 1 / cos 30° = 1 / √3/2 = \(\frac{2}{ \sqrt{3} } = \frac{2 \sqrt{3} }{3}\)

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