Determine two coterminal angles (one positive and one negative) for the given angle. Give your answer in radians.

A) 8pi/9 B) 8pi/45

For 8pi/9 I added 18pi/9 which equals 26pi/9 - 18pi/9 = -10pi/9.

I do not know how to find the positive one for 8pi/9 and I do not know what to do for b.

To find coterminal angles for a given angle, you need to add or subtract multiples of 2π (or 360°) until you get the desired angle.

For angle A) 8π/9, you correctly added 18π/9 (which simplifies to 2π) to get 26π/9.

To find the positive coterminal angle for 8π/9, you can keep adding 2π or any multiple of 2π until you get an angle within the range of 0 to 2π.

To determine the positive coterminal angle, you can subtract multiples of 2π until you reach an angle between 0 and 2π. Subtracting 2π from 26π/9 gives:

26π/9 - 2π = 26π/9 - 18π/9 = 8π/9

Therefore, 8π/9 and 26π/9 are the positive and negative coterminal angles for 8π/9, respectively.

Now let's move on to angle B) 8π/45.

Following the same procedure, you can add or subtract multiples of 2π until you find the desired angles.

To find the positive coterminal angle, you can add 2π multiple times until you get an angle within the range of 0 to 2π. For angle B) 8π/45, adding 2π:

(8π/45) + (2π) = (368π/45)

However, this angle is not within the range of 0 to 2π. In this case, you need to subtract multiples of 2π until you reach an angle between 0 and 2π.

Subtracting 2π from (368π/45) gives:

(368π/45) - (36π/45) = (332π/45)

Now, (332π/45) is a positive coterminal angle for 8π/45.

Therefore, 8π/45 and 332π/45 are the positive and negative coterminal angles for 8π/45, respectively.