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The only solution satisfying the equation $1 + \sin^{2} ax = \cos x,$ where a is irrational is

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$x = a$

$x = 0$

$x = \frac{a}{2}$

$x = 2 a$

answer is B.

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Detailed Solution

$1 + \sin^{2} a x = \cos x \sin^{2} a x = 0 \Rightarrow x = 0$

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