Find the terminal point P(x, y) on the unit circle

ni3s4otqc

ni3s4otqc

Answered question

2021-11-13

Find the terminal point P(x, y) on the unit circle determined by the given value of t.
t=5π2

Answer & Explanation

giskacu

giskacu

Beginner2021-11-14Added 22 answers

We must find the angle that is coterminal with the given angle t=5π2 that is within the interval [0,2π). Coterminal angles are angles that are apart by any integer multiple of 2π. Notice that when we subtract 2π to t, we get the following angle:
t5π22π=π2[0,2π)
Looking at the values of the standard points in the unit circle, the angle t=π2 corresponds to the terminal point (0,1) on the unit citcle.
Result: (0,1)

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