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How do you evaluate sec (11pi)/3?

1 Answer

May 7, 2015

$sec (11pi/3) = 1/cos ((11pi)/3)$

Trig unit circle gives:

$cos ((11pi)/3) = cos ((5pi)/3 + 2pi) = cos (pi/3)$

Trig table gives $cos (pi/3) = 1/2$

Then, $sec [(11pi)/3] = 2.$

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