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Question

Find if f(x)=sin1(x).cos1(x) is a 1-1 function.


Solution

f(x)=sin1(x)cos1(x)
f(1)=π2.0=0    ...(1)
f(12)=π4.π4=π216
f(0)=sin1(0)cos1(0)
=0.π2=0...(2)
From (1) and (2)
f(1)=f(0) where 10
Hence f(x) is not a 1 -1 function.

 

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