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If tan θ = 1 then the solution set of the equation is a/an ?

  1. Empty set
  2. Finite set
  3. Infinite set
  4. None of these

Answer (Detailed Solution Below)

Option 3 : Infinite set

Detailed Solution

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Concept:

  • ​A set which contains finite number of elements is called a finite set.
  • A set which contains infinite number of elements is called an infinite set.

Calculation:

Given that:  

⇒ 

⇒ , where n ∈ Z.

⇒ 

Hence, the solution set of the given equation is an infinite set.

Hence, option 3 is correct.

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