The value of $log (sin 1^{0}) log (sin 2^{0}) . . . . . log (sin 179^{0})$ is

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Solution

The correct option is A $0$
In the sequence we get $log (sin 90)$ as one term
$log (sin 90) = log 1 = 0$
Since one term in the product is $0$ , the entire product will be $0$ .
Therefore option $A$ is correct.

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