Total number of positive integral value ?n? so that the equations \[{{\cos }^{-1}}x+{{(si{{n}^{-1}}y)}^{2}}=\frac{n{{\pi }^{2}}}{4}\] and \[{{(si{{n}^{-1}}y)}^{2}}-{{\cos }^{-1}}x=\frac{{{\pi }^{2}}}{16}\] are consistent, is equal to

Total number of positive integral value ?n? so that the equations \[{{

1.	Total number of positive integral value ?n? so that the equations \[{{\cos }^{-1}}x+{{(si{{n}^{-1}}y)}^{2}}=\frac{n{{\pi }^{2}}}{4}\] and \[{{(si{{n}^{-1}}y)}^{2}}-{{\cos }^{-1}}x=\frac{{{\pi }^{2}}}{16}\] are consistent, is equal to
A.	1
B.	4
C.	3
D.	2
Answer» B. 4

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Total number of positive integral value ?n? so that the equations \[{{\cos }^{-1}}x+{{(si{{n}^{-1}}y)}^{2}}=\frac{n{{\pi }^{2}}}{4}\] and \[{{(si{{n}^{-1}}y)}^{2}}-{{\cos }^{-1}}x=\frac{{{\pi }^{2}}}{16}\] are consistent, is equal to

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