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9 July, 12:51

Haruto simplified the value below.

Which statement explains whether Haruto is correct?

Haruto is correct because the angle is coterminal with

and the reference angle is

O Haruto is correct because the angle is coterminal with 4, which is also the reference angle.

O Haruto is not correct because the angle is coterminal with 4, and

O

Haruto is not correct because the angle is coterminal with

and CSC

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Answers (2)
  1. 9 July, 14:54
    0
    "Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."

    Step-by-step explanation:

    Coterminal angle:

    Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

    Finding if 3pi/4 is coterminal with 19pi/4:

    19pi/4

    = 16pi/4 + 3pi/4

    = 4pi + 3pi/4

    = 2 (2pi) + 3pi/4

    = 2 (360°) + 3pi/4

    = 3pi/4

    Hence they are coterminal.

    Reference angle:

    The smallest angle that the terminal side makes with x-axis.

    3pi/4 falls in second quadrant.

    In 2nd quadrant, reference angle is given as = pi - 3pi/4

    reference angle = pi/4.
  2. 9 July, 15:39
    0
    It's A
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