Question

Convert the angle in degree to radians. Express answers as a multiple of π.

Answer 1

C.

Step-by-step explanation:

1. Write the corresponding fraction to cancel out: pi/180degrees. (what do you want as the numerator and what you have/given as the denominator)

• Since you are given degrees, degrees go on the bottom and pi goes on the top.

-45deg/1 = pi/180

2. Multiply: -45 x pi = -45pi 1 x 180 = 180

3. Simplify: -45pi/180 (both divisible by 15) -3pi/12 (both divisible by 3) -pi/4

4 The answer is -pi/4 aka C

Answer 2

Step-by-step explanation:

To convert an angle from degree to radians, we multiply the value in degrees by:

`(\pi)/(180)`

Therefore, the radian value of -45 degrees is:

`\begin{gathered} -45^0=-45^0*(\pi)/(180) \\ =-(\pi)/(4) \end{gathered}`