Mathematics

Question


What is a positive coterminal angle to -32° that is between 500° and 1000° and a negative
coterminal angle to -32° that is between – 500° and -50°?

2 Answer

  • Positive coterminal angle = 688 degrees

    Negative coterminal angle = -392 degrees

    Solution:

    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

    Positive coterminal angle:

    The positive coterminal angle of [tex]-32^{\circ}[/tex] is given as:

    We have to find positive coterminal angle between 500° and 1000°

    Between 500° and 1000° there is an angle which is coterminal to 0°:

    2 x 360° = 720°

    positive coterminal angle = [tex]-32^{\circ} + 720^{\circ} = 688^{\circ}[/tex]

    Negative coterminal angle:

    We have to find negative coterminal angle between – 500° and -50°

    Negative coterminal angle = [tex]-32^{\circ} - 360^{\circ} = -392^{\circ}[/tex]

  • Answer:

    Postitive: 688

    negative: -392

    Step-by-step explanation:

NEWS TODAY