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If each angle is in standard position, determine a coterminal angle that is between 0° and 360°. State the quadrant in which the terminal side lies.

593
1235
879
a) 233°, Quadrant II
b) 175°, Quadrant III
c) 239°, Quadrant III
d) 355°, Quadrant IV

User Emurano
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1 Answer

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Final answer:

A coterminal angle between 0° and 360° for option d) is 355°, lying in Quadrant IV.

Step-by-step explanation:

A coterminal angle is an angle that shares the same initial and terminal sides as another angle, but is rotated multiple full revolutions around the origin. To find a coterminal angle between 0° and 360°, we need to subtract or add multiples of 360° to the given angle until we get an angle within the desired range.

Let's consider option d) 355°. Adding 360° to 355°, we get 715°. Since 715° is greater than 360°, we subtract 360° to get 355°, which is within the desired range. Therefore, a coterminal angle between 0° and 360° for option d) is 355°.

This coterminal angle of 355° lies in Quadrant IV, which is the bottom right quadrant of a graph with the positive x-axis pointing to the right and the positive y-axis pointing upwards.

User SNM
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