Question

Which of the following is a quadrantal angle​

Answer 1

Question:

Which of the following is a quadrantal angle?

a) π/2 b) π/3 c) 2π/3 D) 4π/5​

Answer:

`(a)\ (\pi)/(2)`

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:

`(a)\ (\pi)/(2)`

[Convert to degrees]

`(\pi)/(2) = (180)/(2)`

`(\pi)/(2) = 90`

Hence:

`(a)\ (\pi)/(2)` is a quadrantal angle

The other options are not.