The number of solutions of the equation \[{{\sin }^{5}}x-{{\cos }^{5}}x=\frac{1}{\cos x}-\frac{1}{\operatorname{sinx}}(\sin x\ne \cos x)\]is

The number of solutions of the equation \[{{\sin }^{5}}x-{{\cos }^{5}}

1.	The number of solutions of the equation \[{{\sin }^{5}}x-{{\cos }^{5}}x=\frac{1}{\cos x}-\frac{1}{\operatorname{sinx}}(\sin x\ne \cos x)\]is
A.	0
B.	1
C.	infinite
D.	None of these
Answer» B. 1

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The number of solutions of the equation \[{{\sin }^{5}}x-{{\cos }^{5}}x=\frac{1}{\cos x}-\frac{1}{\operatorname{sinx}}(\sin x\ne \cos x)\]is

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