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If 0 lt cos^(-1)x lt 1 and 1+sin(cos^(-1...

If `0 lt cos^(-1)x lt 1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+…infty=2`, then the value of 12x is

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The correct Answer is:
6root(3)
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