Find the exact value. Sec^2(11pi/6)

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23-05-2015
Mathematics

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Find the exact value. Sec^2(11pi/6)

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IranianWithUranium IranianWithUranium · Answer 1 · 2015-05-23T20:47:36-04:00

IranianWithUranium IranianWithUranium

23-05-2015

1 + tan^2(11pi/6)
1 + tan^2(2pi - pi/6)
1 + tan(2pi - pi/6)*tan(2pi - pi/6)

tan(2pi) = 0
tan(pi/6) = 1/sqrt(3)

Compund angle rule:

1 + sqrt(3)/3 * sqrt(3)/3
1 + 1/3
4/3

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