solve the equation if 0 degrees is less than or equal to x which is less than or equal to 360 degrees. cos x= -1/2

Question

solve the equation if 0 degrees is less than or equal to x which is less than or equal to 360 degrees. cos x= -1/2

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Anna 2 weeks 2021-09-11T20:12:59+00:00 1 Answer 0

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    2021-09-11T20:14:46+00:00

    Answer:

    x = {120°, 240°}

    Step-by-step explanation:

    cos x = -1/2 for 0 ≤ x ≤ 360°

    That cosine of x = -1/2 tells us two things immediately:  1) the hypotenuse has length 2 and the side adjacent to the angle x is -1.  To have a negative adjacent side, angle x must be in either Quadrant II or Quadrant III.

    If in Quadrant II, the terminal side of angle x is 30° past 90°, which means that x = 120°.  If in Quadrant III, the terminal side of x is 30° short of 270°, which means that x = 240°

    Then x = {120°, 240°}

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