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  4. The range of f(x) = sin2 x - 2 sin x is

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Q. The range of $f(x) = \sin^2 x - 2 \sin x$ is

Relations and Functions

Solution:

$\sin^{2} x - 2 \sin x + 1 - 1 = \left(\sin x -1\right)^{2} - 1 \in \left[ - 1 , 3\right]$