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Solve log((sin x))2log((sin^(2)x))a=-1 s...

Solve `log_((sin x))2log_((sin^(2)x))a=-1` stating any condition on `a` that may be required for the existence of the solution.

Text Solution

Verified by Experts

The correct Answer is:
`x = n pi +(-1)^(n) sin^(-1){2^(-sqrt((-log_(2)a)//2))}` and the condition is ` 0 lt a lt 1`
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