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If theta is the fundamental period of t...

If `theta` is the fundamental period of the function `f(x) = sin^99 x+sin^99(x+(2pi)/3)+sin^99(x+(4pi)/3)` , then the complex number `z=|z|(cos theta+i sintheta)` lies in the quadrant number.

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The correct Answer is:
3
Clearly, fundamental period is `(4pi)/(3)`. Then z lies in the third quadrant.
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