Consider \( f, g \) and \( h \) be three real valued function defined on \( R \). Let \( f(x)=\s...

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Consider \( f, g \) and \( h \) be three real valued function defined on \( R \).
Let \( f(x)=\sin 3 x+\cos x, g(x)=\cos 3 x+\sin x \) and \( h(x)=f^{2}(x)+g^{2}(x) \)

The general solution of the equation \( h(x)=4 \), is
(a) \( (4 n+1) \pi / 8 \)
(b) \( (8 n+1) \pi / 8 \)
(c) \( (2 n+1) \pi / 4 \)
(d) \( (7 n+1) \pi / 4 \)
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