Exercise 4 Page 802

Let's start by drawing an angle whose measure is 25^(∘). In this case, since the measure is positive, the angle opens counterclockwise.

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 360^(∘). Angle:& θ Coterminal Angle:& θ ± 360^(∘) nIn this case, since the measure of the given angle is less than 360^(∘), to find a coterminal angle with a positive measure we will add 360^(∘).

25^(∘)+360^(∘)

AddTerms

Add terms

385^(∘)

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

Finally, to find a coterminal angle with a negative measure we will subtract 360^(∘) from 25^(∘).

25^(∘) - 360^(∘)

SubTerm

Subtract term

- 335^(∘)

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 360^(∘) and obtain different coterminal angles. Therefore, this is just an example answer.