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greeneyes<3

  • 4 years ago

Evaluate w/o using a calulator: sec (11 pi/6) My answer was (2 sqrt3/3) Can someone check if it's right?

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  1. vi3tbloodxx
    • 4 years ago
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    sec (11π / 6) is the same as 1 / cos(11π / 6)

  2. eigenschmeigen
    • 4 years ago
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    sec(11pi/6) = 1/cos(11pi/6) cos(11pi/6) we can see from the graph that cos(2pi - x) = cos(x) cos(11pi/6) = cos(2pi - pi/6) = cos(pi/6) = sqrt(3)/2

  3. eigenschmeigen
    • 4 years ago
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    so sec(11pi/6) = 1/(sqrt(3)/2) = 2/sqrt(3) = 2sqrt(3)/3

  4. eigenschmeigen
    • 4 years ago
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    yes you are correct

  5. vi3tbloodxx
    • 4 years ago
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    \[1 / \cos(11π / 6) = 1 / \sqrt{3}/2\] \[= 2\sqrt{3}/3\]

  6. greeneyes<3
    • 4 years ago
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    Thanks smart people lol i thought i had it wrong. :)

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