What is the period of the function f(x) = sin x?

This question was previously asked in
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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Detailed Solution

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Concept:

Period of a Function:

  • If a function repeats over at a constant period we say that is a periodic function.
  • It is represented like f(x) = f(x + T), T is the real number and this is the period of the function.


Calculation:

We have to find the period of the function f(x) = sin x

Now,

f(x + 2π) = sin (x + 2π) = sin x

⇒ f(x + 2π) = f(x)

∴ Period of sin x is 2π
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