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(v)cos(2x^(2)-1)

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Let f(x)=(2cos x-1)(2cos2x-1)(2cos2^(2)x-1)...(2cos2^(n)x-1) (where n>=1). Then prove that f((2 pi k)/(2^(n)+-1))=1AA k in I

2cos^(-1)x=cos^(-1)(2x^(2)-1)

Let f(x)=cos^(-1)(2x^(2)-1) then

int cos^(-1) (2x^(2)-1)dx =

int Cos^(-1)(2x^(2)-1)dx=

|(sin^(2)x,cos^(2)x,1),(cos^(2)x,sin^(2)x,1),(-10,12,2)|=

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Draw the graph of the following y = cos^(-1) ( 2x^(2) - 1)