Answer:
Example: Find the radian measure of the angles −70° and 120°.
Solution: To find the radian measure of −70° we multiply −70 by the conversion factor /180. We get
Similarly, for 120° we obtain
Note that when we write an angle as a fractional amount of , for example 2/3 times we write the result either as the numerator times divided by the denominator or as the fraction times . So the two values
are equivalent ways of writing the same number. You will see both methods used in the text and in the exercises.
Example: Find the degree measure of /12.
Solution: The conversion factor for going from radians to degrees is 180/. We get
and so the radian measure of /12 is 15°.
Step-by-step explanation: