Find two exact values of theta in degrees (0 less than or equal to theta < 360°) if cos theta = -(square root of 2)/2.

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asked by Sade
  1. cosØ = -√2/2
    so Ø is in quadrants II or III

    you should know the trig ratios of the 45-45-90 as well as the 30-60-90 degree triangles.
    so you know the angle in standard position is 45°, because cos45 = √2/2

    so Ø = 180-45 or 135° (in II)
    or Ø = 180+45 = 225° (in III)

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    posted by Reiny

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