a) The angle between 0 and 2π that is co-terminal with -π/4 is 7π/4 radian
b) The angle between 0 and 2π that is co-terminal with is 315 degrees
What are Co-terminal angles
Co-terminal angles are angles that maintain exactly same position or measure in a quadrant. they are gotten by addition or subtraction of 2π radian or 360 deg.
Negative angles are angles measured in clockwise direction from the positive x-axis. while positive angles are measured in counter clockwise from the positive x-axis.
Hence,
a) the angle between 0 and 2π that is co-terminal with -π/4 is
-π/4 + 2π = 7π/4
b) the angle between 0 and 360 degree that is co-terminal with 675 degree is
675 - 360 = 315
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