Name a positive angle between 0 radians and 2π radians that is coterminal with an angle in standard position whose measure is −3π2 radians.

The positive angle between and radians that is coterminal with is .

Step-by-step explanation:

GIven that the measure of the known angle is radians and that such angle belongs to a set of angles in terms of revolutions (with a period of ) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:

, for (1)

Where is the index of the coterminal angle.

According to the statement, we must name a positive angle between and radians, which can be found by the sign and . Hence, we find the required angle:

The positive angle between and radians that is coterminal with is .

mental cunning

explanation:

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