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" 11.Prove that "sin^(-1)(2x sqrt(1-x^(2...

" 11.Prove that "sin^(-1)(2x sqrt(1-x^(2)))=2cos^(-1)x,(1)/(sqrt(2))<=x<=1

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Prove that sin^(-1)(2x.sqrt(1-x^(2)))=2cos^(-1)x,(1)/(sqrt(2))lexlt1

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y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

y = sin^(-1)(x/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2))