We have to identify t if cos 2x + 2*(sin x )^2 + t = 0

cos 2x + 2*(sin x )^2 + t = 0

use cos 2x = 1 - 2*(sin x)^2

=> 1 - 2*(sin x)^2 + 2*(sin x)^2 + t = 0

=> 1 + t = 0

=> t = -1

**The required value of t = -1.**

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