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Verified Answer :

If tan α = 0
α = tan^(-1) 0 
α = k π ,  k ∈ Z ( any integer ),  π = 180°
0 · 180° = 0
1 · 180° = 180°
2 · 180° = 360°
3 · 180° = 540°
Answer:
Angles are: 0°, 180°, 360°, 540°.

Answer:

Angles are: 0°, 180°, 360°, 540°        

Step-by-step explanation:

we have to tell four angles whose tangent equals 0.

i.e if \(\tan\theta=0\)

we have to find 4 values of \(\theta\)

\(\theta= tan^{-1}0\)  

\(\theta = n\pi\) where n is integer

Put k=0, 1, 2, 3

n=0, \(\theta = 0^{\circ}\)

n=1, \(\theta = 180^{\circ}\)

n=2,\(\theta = 360^{\circ}\)

n=3, \(\theta = 540^{\circ}\)

Angles are: 0°, 180°, 360°, 540°