Answers:
a) [tex]\frac{1}{6} \pi rad[/tex]
b) [tex]\frac{2}{9} \pi rad[/tex]
c) [tex]\frac{1}{4} \pi rad[/tex]
d) [tex]\frac{5}{18} \pi rad[/tex]
Step-by-step explanation:
In this case we are dealing with angles, which can be expressed in degrees ([tex]\°[/tex]) or radians ([tex]rad[/tex]).
Now, before making the conversions we have to know the equivalence between degrees and radians:
[tex]180 \°=1 \pi rad[/tex]
Taking this information into account, let's begin with the answers:
a) [tex]30\° \frac{1 \pi rad}{180 \°}=\frac{1}{6} \pi rad[/tex]
b) [tex]40\° \frac{1 \pi rad}{180 \°}=\frac{2}{9} \pi rad[/tex]
c) [tex]40\° \frac{1 \pi rad}{180 \°}=\frac{1}{4} \pi rad[/tex]
d) [tex]50\° \frac{1 \pi rad}{180 \°}=\frac{5}{18} \pi rad[/tex]
