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The number of distinct real roots of the...

The number of distinct real roots of the equation `|{:(cosx, sinx, sinx), (sinx, cosx, sinx), (sinx, sinx, cosx):}|=0` in the interval `[-\ pi/4,pi/4]` is- a. 3 b. `\ 4` c.`\ 2` d. `1`

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