If Tan theta is root2 -1, then prove that sin theta.cos theta = 1/2 root 2

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If Tan theta is root2 -1, then prove that sin theta.cos theta = 1/2 root 2

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As shown in figure, if tanθ = √2-1, then sinθ = (√2-1) / BC and cosθ = 1/BC
Hence sinθ × cosθ =
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