Respuesta :

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 [tex]\tan\theta=0[/tex]

we have to find 4 values of [tex]\theta[/tex]

[tex]\theta= tan^{-1}0[/tex]  

[tex]\theta = n\pi[/tex] where n is integer

Put k=0, 1, 2, 3

n=0, [tex]\theta = 0^{\circ}[/tex]

n=1, [tex]\theta = 180^{\circ}[/tex]

n=2,[tex]\theta = 360^{\circ}[/tex]

n=3, [tex]\theta = 540^{\circ}[/tex]

Angles are: 0°, 180°, 360°, 540°

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