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11 November, 04:05

Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.

A. 0°

B. 56°

C. 60°

D. 74°

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Answers (1)
  1. 11 November, 04:25
    0
    1 / cos^2 O - 3 / cos O - 2 = 0

    1 - 3 cos O - 2 cos^2 O = 0

    2 cos^2 O + 3 cos O - 1 = 0

    cos O = 0.2807, - 1.78 (-1.78 cannot be a solution)

    O = 74 degrees (from 0.2807) another solution is 360-74 = 286 degrees

    Its D
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