Hello.. Find an angle between 0 and 2pi (in decimal form) that is coterminal with the given angle. a. 13pi/5
b. -13pi/3
c. 57pi/2
d. 11pi/7

I know the answer to the first one is 1.88495559215. However, following the formula I was given by my teacher gives me decimals that are higher than the decimal for 2pi or lower than 0, so the other questions keep being wrong. Can someone please help?? I have no idea what to do.

9514 1404 393

  a. 1.88495559215 radians

  b. 5.23598775598 radians

  c. 1.57079632679 radians

  d. 4.93678845564 radians

Step-by-step explanation:

You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.

  a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)

  b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598

  c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679

  d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564

All angles are in radians.

__

* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers