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17 November, 22:27

Evaluate sec 240Á without using a calculator by using ratios in a reference triangle.

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Answers (2)
  1. 17 November, 22:52
    0
    Sec∅ = 1/cos∅

    = 1/cos (240)

    = 1/cos (180 + 60)

    = 1/-cos (60)

    = 1 / (-1/2)

    = - 2
  2. 17 November, 22:53
    0
    60=pi/3

    cos 60 = 0.5

    sec 240 = 1 / cos 240

    cos 240 = cos (180+60)

    cos (180+x) = - cos x

    cos (180+x) = - cos x

    so

    cos 240 = - cos 60

    = - 0.5

    sec 240 = 1 / cos 240

    = 1 / (-0.5)

    = - 2
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