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MHT CET2017MathematicsTrigonometric Equations

The number of principle solutions of tan ⁡ 2 θ = 1 is

Options

  1. AOne
  2. BTwo
  3. CThree
  4. DFour

Correct answer

D. Four

Step-by-step solution

given equation is tan ⁡ 2 θ = 1 ( + i v e ) ⇒ 2 θ = π 4 , 5 π 4 , 9 π 4 , 1 3 π 4 ⇒ θ = π 8 , 5 π 8 , 9 π 8 , 1 3 π 8 Hence 4 principle solutions are present

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