Exercise 39 Page 803

Let's start by drawing an angle whose measure is - 3π4. A negative measure means that the angle is being measured clockwise.

Two angles in standard position with the same terminal side are called coterminal angles. We can find an angle that is coterminal with another angle by adding or subtracting a multiple of 2π. Angle:& θ Coterminal Angle:& θ ± 2π nIn this case, since the measure of the given angle is less than 0, to find a coterminal angle with a positive measure we will add 2π.

Let's graph this angle with our newly obtained measure.

Finally, to find a coterminal angle with a negative measure we will subtract 2π from - 3π4.

Be aware that if an angle has a negative measure it means that it is being measured clockwise. Let's graph this new angle.

Notice that we could add or subtract more multiples of 2π and obtain different coterminal angles. Therefore, this is just an example answer.