Answer:
The answer is the option A [tex]\frac{\pi}{4},\frac{\pi}{4},\frac{\pi}{2}[/tex]
Step-by-step explanation:
we know that
The measure of [tex]\pi[/tex] radians is equal to [tex]180\°[/tex]
so by proportion
Find the measure in radians of [tex]45\°[/tex]
[tex]\frac{\pi}{180}\frac{radians}{degrees}=\frac{x}{45}\frac{radians}{degrees}\\ \\x=(45/180)*\pi \\ \\x=\frac{\pi}{4}[/tex]
Find the measure in radians of [tex]90\°[/tex]
[tex]\frac{\pi}{180}\frac{radians}{degrees}=\frac{x}{90}\frac{radians}{degrees}\\ \\x=(90/180)*\pi \\ \\x=\frac{\pi}{2}[/tex]
therefore
In radian measure the angles are
[tex]\frac{\pi}{4},\frac{\pi}{4},\frac{\pi}{2}[/tex]
