If \[f(p,q)=\int_{0}^{\pi /2}{{{\cos }^{p}}x\cos \,\,qx\,\,dx}\], then

1.	If \[f(p,q)=\int_{0}^{\pi /2}{{{\cos }^{p}}x\cos \,\,qx\,\,dx}\], then
A.	\[f(p,q)=\frac{q}{p+q}f(p-1,q-1)\]
B.	\[f(p,q)=\frac{p}{p+q}f(p-1,q-1)\]
C.	\[f(p,q)=\frac{p}{p+q}f(p-1,q-1)\]
D.	\[f(p,q)=-\frac{q}{p+q}f(p-1,q-1)\]
Answer» C. \[f(p,q)=\frac{p}{p+q}f(p-1,q-1)\]

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If \[f(p,q)=\int_{0}^{\pi /2}{{{\cos }^{p}}x\cos \,\,qx\,\,dx}\], then

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