Answered

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which of the following is a quadrantal angle​

Sagot :

MrRoyal

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.

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