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Find the value of 

  1. 1
  2. 0
  3. -1
  4. 2

Answer (Detailed Solution Below)

Option 2 : 0
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Detailed Solution

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Concept:

A function, f(x) is odd if f(-x) = - f(x) and the function is even if f(-x) = f(x)

If the function is even or odd and the interval is [-a, a], we can apply these rules:

When f(x) is even:

When f(x) is odd:

Calculation:

The given function is, f(x) = sin9x

f(-x) = sin9(-x) 

= - sin9x

= - f(x)

Since the function is odd the value of  = 0

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