If \( \sin ^{-1} \mathrm{x}+\sin ^{-1} \mathrm{y}+\sin ^{-1} \mathr...

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If \( \sin ^{-1} \mathrm{x}+\sin ^{-1} \mathrm{y}+\sin ^{-1} \mathrm{z}=\frac{3 \pi}{2} \) and \( f(1)=2 \),
\( \mathrm{P} \)
W \( f(1)=2, f(p+q)=f(p) . f(q), \forall p, q \in R \), then \( x^{f(1)}+y^{f(2)}+z^{f(3)}-\frac{(x+y+z)}{x^{(1)}+y^{(2)}+z^{(3)}} \) is equal
to
(A) 0
(B) 1
(C) 2
(D) 3
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