फलन f(x) = sin x की आवर्ती क्या है?

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NDA (Held On: 22 April 2018) Maths Previous Year paper
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  1. π/4
  2. π/2
  3. π
  4. 2 π

Answer (Detailed Solution Below)

Option 4 : 2 π
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संकल्पना:

फलन की आवर्ती:

  • यदि एक फलन को स्थिर आवर्ती में दोहराया जाता है, तो हम कहते हैं कि यह एक आवर्ती फलन है। 
  • इसे f(x) = f(x + T) के समान दर्शाया जाता है, T वास्तविक संख्या है और यह फलन की आवर्ती है। 


गणना:

हमें फलन f(x) = sin x की आवर्ती ज्ञात करनी है। 

अब, 

f(x + 2π) = sin (x + 2π) = sin x

⇒ f(x + 2π) = f(x)

∴ sin x की आवर्ती 2π है। 
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