One maximum point of \[{{\sin }^{p}}x{{\cos }^{q}}x\]is [RPET 1997; AMU 2000]

\[x={{\tan }^{-1}}\sqrt{(q/p)}\]

\[x={{\tan }^{-1}}\sqrt{(p/q)}\]

\[x={{\tan }^{-1}}\sqrt{(q/p)}\]

One maximum point of \[{{\sin }^{p}}x{{\cos }^{q}}x\]is [RPET 1997; AM

1.	One maximum point of \[{{\sin }^{p}}x{{\cos }^{q}}x\]is [RPET 1997; AMU 2000]
A.	\[x={{\tan }^{-1}}\sqrt{(p/q)}\]
B.	\[x={{\tan }^{-1}}\sqrt{(q/p)}\]
C.	\[x={{\tan }^{-1}}(p/q)\]
D.	\[x={{\tan }^{-1}}(q/p)\]
Answer» B. \[x={{\tan }^{-1}}\sqrt{(q/p)}\]

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One maximum point of \[{{\sin }^{p}}x{{\cos }^{q}}x\]is [RPET 1997; AMU 2000]

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