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Question:
Which of the following is a quadrantal angle?
a) π/2 b) π/3 c) 2π/3 D) 4π/5
Answer:
[tex](a)\ \frac{\pi}{2}[/tex]
Step-by-step explanation:
Required
Which of a to d is a quadrantal angle
An angle is said to be quadrantal if and only if the angle has its terminal side on the x or y axis.
Such angles (in degrees) are: 90, 180, 270, etc.
So, we have:
[tex](a)\ \frac{\pi}{2}[/tex]
[Convert to degrees]
[tex]\frac{\pi}{2} = \frac{180}{2}[/tex]
[tex]\frac{\pi}{2} = 90[/tex]
Hence:
[tex](a)\ \frac{\pi}{2}[/tex] is a quadrantal angle
The other options are not.