Question

Name four angles whose tangent equals 0.

Answer 1

Angles are: 0°, 180°, 360°, 540°

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°

Answer 2

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°.