exact value of secant 13pi/6

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Guest Sep 23, 2014

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Best Answer

13pi/6 is the same rotational angle as pi/6 = 30°

And cos 30° = (√3) / 2

And sec 30° = 1/ cos 30° = 1 / [(√3) / 2] = 2/√3 = (2/3)√3

CPhill Sep 23, 2014

CPhill · Answer 1 · 2014-09-23T06:51:58

13pi/6 is the same rotational angle as pi/6 = 30°

And cos 30° = (√3) / 2

And sec 30° = 1/ cos 30° = 1 / [(√3) / 2] = 2/√3 = (2/3)√3

gliu1 · Answer 2 · 2014-09-23T01:23:50

$${sec}{\left({\frac{{\mathtt{13}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{6}}}}\right)} = {\mathtt{1.007\: \!098\: \!552\: \!705\: \!543}}$$

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