This is confusing, however, I think you want
angle-n*360-given where angle is less than 360
example:
1. 1*360-370=-10deg
2*360-370=350 deg
3. 2PI-5PI/2=-1/2 PI
2*2PI-5PI/2= 1/5PI
1. 370 degrees
2. -3π /4
3. 5 π/2
pi sign = π
angle-n*360-given where angle is less than 360
example:
1. 1*360-370=-10deg
2*360-370=350 deg
3. 2PI-5PI/2=-1/2 PI
2*2PI-5PI/2= 1/5PI
1. 370 degrees:
To find a positive coterminal angle, subtract 360 degrees from 370:
Coterminal angle = 370 - 360 = 10 degrees
To find a negative coterminal angle, subtract 360 degrees from -370:
Coterminal angle = -370 - 360 = -730 degrees
2. -3π/4:
To find a positive coterminal angle, add 2π radians (or 360 degrees) to -3π/4:
Coterminal angle = -3π/4 + 2π = 5π/4
To find a negative coterminal angle, subtract 2π radians (or 360 degrees) from -3π/4:
Coterminal angle = -3π/4 - 2π = -11π/4
3. 5π/2:
To find a positive coterminal angle, add 2π radians (or 360 degrees) to 5π/2:
Coterminal angle = 5π/2 + 2π = 9π/2
To find a negative coterminal angle, subtract 2π radians (or 360 degrees) from 5π/2:
Coterminal angle = 5π/2 - 2π = π/2
So, the coterminal angles for the given angles are:
1. Positive: 10 degrees
Negative: -730 degrees
2. Positive: 5π/4
Negative: -11π/4
3. Positive: 9π/2
Negative: π/2
1. Angle: 370 degrees
Coterminal angle (positive measure): 370 degrees + 360 degrees = 730 degrees
Coterminal angle (negative measure): 370 degrees - 360 degrees = 10 degrees
2. Angle: -3π/4
First, let's convert -3π/4 to degrees:
-3π/4 * (180 degrees/π) = -135 degrees
Coterminal angle (positive measure): -135 degrees + 360 degrees = 225 degrees
Coterminal angle (negative measure): -135 degrees - 360 degrees = -495 degrees
3. Angle: 5π/2
First, let's convert 5π/2 to degrees:
5π/2 * (180 degrees/π) = 450 degrees
Coterminal angle (positive measure): 450 degrees + 360 degrees = 810 degrees
Coterminal angle (negative measure): 450 degrees - 360 degrees = 90 degrees
Remember, π (pi) is a mathematical constant that represents the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.