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JEE Advance - Mathematics (1997 - No. 16)

The real roots of the equation $$\,{\cos ^7}x + {\sin ^4}x = 1$$ in the interval $$\left( { - \pi ,\pi } \right)$$ are ...., ...., and ______.
$${pi over 2},{pi over 4},0$$
$${pi over 2},{pi over 3},0$$
$$ - {pi over 2},{pi over 2},0$$
$$ - {pi over 2},{pi over 4},0$$
$$ - {pi over 2},{pi over 3},0$$

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