If the functions \( f(x)=\sin (x+a) \) and \( g(x)= \) \( b \sin x+...

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If the functions \( f(x)=\sin (x+a) \) and \( g(x)= \) \( b \sin x+c \cos x \) satisfy \( f(0)=g(0) \) and \( f^{\prime}(0) \) \( =g^{\prime}(0) \) then
(a) \( b=\pi / 2 \)
(b) \( b=\cos a \)
(c) \( c=\sin a \)
(d) \( c=\cos a \)
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