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If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-...

If `|{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,cos^(2)x):}|=a_(0)+a_(1)(x-1)+a_(2)(x-1)^(2)cdots`
The value of `cos^(-1) (a_(1))` is

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