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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

 Next Question
Answer: Option A
: 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

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