62.9k views
1 vote
Find the exact angle between 0 and 2π radians that is coterminal to the given angle.
19π/4

User Gilian
by
3.8k points

1 Answer

5 votes

9514 1404 393

Answer:

3π/4

Explanation:

A multiple of 2π can be added or subtracted from the given angle to make a coterminal angle. Here, we need to subtract 4π = 16π/4 to get the angle in the desired range.

19π/4 -16π/4 = 3π/4 . . . . angle coterminal with the given angle

User Mohsen Safari
by
4.3k points