The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at Θ = 3π/2 where π≤Θ≤2π.
It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We know on the unit circle the point (cosΘ, sinΘ) lies on the circle.
Where, 0≤Θ≤2π
tanΘ is the ratio of the sinΘ to cosΘ
[tex]\rm tan\theta = \dfrac{sin\theta}{cos\theta}[/tex]
TanΘ will be undefined when cosΘ = 0
So in the interval 0≤Θ≤π
CosΘ will be zero at π/2
And the interval π≤Θ≤2π
CosΘ will be zero at 3π/2
Thus, the tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at Θ = 3π/2 where π≤Θ≤2π.
Learn more about circle here:
brainly.com/question/11833983
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