Respuesta :

Answer:

Option (4)

Step-by-step explanation:

Given expression is,

[tex]\sqrt{1-\text{cos}^2\theta}=-\text{sin}\theta[/tex]

Since, [tex]\sqrt{1-\text{cos}^2\theta}=\pm \text{sin}\theta[/tex]

If [tex]\sqrt{1-\text{cos}^2\theta}=-\text{sin}\theta[/tex]

And sine of angle θ is negative in quadrants III and IV.

Therefore, angle θ will terminate in quadrants III and IV.

Therefore, Option (4) will be the correct option.

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