## Inverse Trigonometric Functions

Total number of positive integral value of `n' such that the equations cos1x+(sin1y)2=nπ24 and (sin1y)2cos1x=π216 are consistent, is equal to :
Options:
 A. 1 B. 4 C. 3 D. 2

: A

(sin1y)2+cos1x=nπ24
(sin1y)2cos1x=π216
(sin1y)2=(4n+1)π232,cos1x=π2(4n1)32
0(4n+1)32π2π24,0(4n1)32π2π
14n74,14,n8π+14