Express the following in radians:
a.135degrees. --> (pi/180)*135 = how can i end up with a fraction answer??
b.-15degrees. --> (pi/180)* -15 = same here what are the steps to do next to get a fraction answer.
(3/4) pi as I showed you below.
showed me below where ??
To express an angle in radians, you can multiply the measure in degrees by the conversion factor of π/180.
a. To express 135 degrees in radians:
(π/180) * 135
To get an answer in fraction form, you can simplify the expression further. Here are the steps:
1. Convert 135 to the simplest fraction form by dividing the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 45.
135 ÷ 45 = 3
2. Rewrite the expression:
(π/180) * 3
So the answer, in fraction form, is:
3π/180
b. To express -15 degrees in radians:
(π/180) * -15
To simplify this expression and get a fraction answer, follow these steps:
1. Convert -15 to the simplest fraction form:
-15 ÷ 15 = -1
2. Rewrite the expression:
(π/180) * -1
So the answer, in fraction form, is:
-π/180
Note: The fraction answers above have been simplified as much as possible. However, if you need to keep the fractions in a certain form, like with a common denominator, you can adjust the expression accordingly.