Determine the quadrant in which the terminal side of the given angle lies. 1,165 I II

Question

Determine the quadrant in which the terminal side of the given angle lies.

1,165

I

II

IIII

IV

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Phúc Điền 5 months 2021-08-09T06:04:54+00:00 2 Answers 5 views 0

Answers ( )

    0
    2021-08-09T06:06:07+00:00

    Answer:

    A. I

    Step-by-step explanation:

    The sum of the angles in the four quadrants equals 360^{o}.

    Given an angle 1165^{o}, then;

    \frac{1165}{360} = 3.236111….

    So that,

    360^{o} x 3 = 1080^{o}

    Thus,

    1165^{o}1080^{o} = 85^{o}

    We have;

    0^{o} < 85^{o} < 90^{o}

    Therefore, the terminal side would lie in the first quadrant. The correct option is A.

    0
    2021-08-09T06:06:12+00:00

    Answer:

    quadrant III

    Step-by-step explanation:

    first we need to reduce the angle 1165°

    1165 – 180 – 180 – 180 – 180 – 180 = 265°

    since our reduced angle is 265°, this means that its in between the angles 180 ° and 270° which is in the third quadrant.

    When you encounter another problem like this, just subtract it to 180° until it reaches an angle that is greater than or equal to 360°. Hope this helps! 😉

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