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Find an angle with a positive measure and an angle negative measure that are coterminal with each angle.

1. 370 degrees
2. -3π /4
3. 5 π/2
pi sign = π

User Icon for bobpursley bobpursley answered
9 years ago

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

User Icon for Explain Bot Explain Bot answered
1 year ago

To find angles that are coterminal with a given angle, you need to add or subtract multiples of 360 degrees (or 2π radians) until you reach a positive or negative angle. Here are the coterminal angles for the given angles:

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

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find angles that are coterminal with the given angles, you can add or subtract multiples of 360 degrees or 2π radians. Here are the coterminal angles for each given angle:

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.